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Linear Algebra Math Geometry

08/01/21

Linear Inequality

The sum of the lengths of any rwo sides of a triangle must be greater than the third side. if a triangle has one side that is 11cm and a second side that is 1cm less than twice the third side, what... more

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Linear Algebra Statistics

07/29/21

Not getting the correct answer need help

A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y).The results of the regression... more

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Linear Algebra Business Calculus Precalculus

07/28/21

Quantitative techniques

a) A manufacturing firm finds that the daily costs of producing x units of a product is given by:𝒄 = 𝟎. 𝟎𝟐𝟓𝒙2+ 𝟏𝟑𝒙 + 𝟏𝟎𝟎a. If each of the units is sold for Ksh 20, determine the minimum numbers... more

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Linear Algebra

07/27/21

Determine if U={(x,y)∈ R^2:y=-5x=5 is a subspace of R^2

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Linear Algebra Algebra 1 Algebra 2 Prealgebra

07/26/21

Find the angle 𝜃 θ between the vectors 𝐚=10𝐢−𝐣−5𝐤 a = 10 i − j − 5 k and 𝐛=2𝐢+𝐣−8𝐤 b = 2 i + j − 8 k

Find the angle between the vectors and

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Linear Algebra Algebra 1 Algebra 2 Prealgebra

07/26/21

Let 𝐯=𝑃𝑄→ v = P Q → , where 𝑃=(−2,2),𝑄=(2,5) P = ( − 2 , 2 ) , Q = ( 2 , 5 ) . Which of the vectors with the following given tails and heads are equivalent to 𝐯 v ?

a. (-2,0), (-6,3)b. (0,0), (4,3)c. (4,4), (8,7)d. (0,4), (2,7)

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Linear Algebra Algebra 1 Algebra 2 Prealgebra

07/26/21

Let 𝐚=⟨2,4,2⟩ a = ⟨ 2 , 4 , 2 ⟩ and 𝐛=⟨−4,0,3⟩ b = ⟨ − 4 , 0 , 3 ⟩ . Show that there are scalars 𝑠 s and 𝑡 t so that 𝑠𝐚+𝑡𝐛=⟨−18,−4,10⟩

Let and . Show that there are scalars and so that s=t=

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Linear Algebra Algebra 1 Algebra 2 Prealgebra

07/26/21

Find the point at which the line ⟨1,0,−4⟩+𝑡⟨1,3,−5⟩ ⟨ 1 , 0 , − 4 ⟩ + t ⟨ 1 , 3 , − 5 ⟩ intersects the plane 4𝑥−3𝑦−2𝑧=57 4 x − 3 y − 2 z = 57 .

Find the point at which the line intersects the plane .

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Linear Algebra Algebra 1 Algebra 2

07/26/21

Find the distance the point P(-2, 2, 3), is to the plane through the three points Q(-1, 0, 2), R(1, -2, 5), and S(-3, -2, 4).

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Linear Algebra Algebra 1 Algebra 2 Pre Algebra

07/23/21

Find the linear equation of the plane through the point (2,10,6) ( 2 , 10 , 6 ) and parallel to the plane 𝑥+5𝑦+3𝑧+4=0.

Find the linear equation of the plane through the point and parallel to the plane

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Linear Algebra Algebra 1 Algebra 2 Prealgebra

07/23/21

Find an equation for the plane through the points (5,3,4),(−1,0,2),(0,2,−1).

Find the equation. The plane is: ______ ?

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Linear Algebra Algebra 1 Algebra 2 Prealgebra

07/23/21

Find an equation for the plane through the points (5,3,4),(−1,0,2),(0,2,−1).

Find the equation. The plane is: ______ ?

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Linear Algebra Algebra 1 Algebra 2 Prealgebra

07/23/21

Consider the plane which passes through the three points: (6,0,1) ( 6 , 0 , 1 ) , (9,−2,−3) ( 9 , − 2 , − 3 ) , and (9,−1,−1) ( 9 , − 1 , − 1 ) .

Find the vector normal to this plave which has the form (_, 6, _)

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Linear Algebra Algebra 1 Algebra 2 Prealgebra

07/23/21

Thetwovectors 𝑢⎯⎯=⟨−1,2,2⟩ u ¯ = ⟨−1 ,2 , 2⟩ and 𝑣⎯-=⟨−3,−3,2⟩ v ¯ = ⟨ − 3 , − 3 , 2 ⟩ determine a plane in space. Mark vectors below asT if the vector lies in same plane as 𝑢⎯⎯⎯u ¯ and 𝑣⎯⎯⎯ v ¯

<2,2,3> <9,9,-6> <-1,2,0> <-5,-8,2>

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Linear Algebra Algebra 1 Algebra 2 Prealgebra

07/23/21

Find the intercepts of the plane 5𝑥+𝑦+10𝑧=50. 5 x + y + 10 z = 50. Write your answers as points (𝑎,𝑏,𝑐) ( a , b , c ) where 𝑎 a , 𝑏 b , and 𝑐 c are numbers.

The x-axis intercept answer: ? the y-axis intercept answer: ? the z-axis intercept answer:?

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Linear Algebra Algebra 1 Algebra 2 Prealgebra

07/23/21

Find the linear equation of the plane through the point (2,10,6) ( 2 , 10 , 6 ) and parallel to the plane 𝑥+5𝑦+3𝑧+4=0.

Find the linear equation of the plane through the point and parallel to the plane

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Linear Algebra Algebra 1 Algebra 2 Prealgebra

07/23/21

Find the linear equation of the plane through the origin and perpendicular to the vector ⟨−5,4,4⟩.

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Linear Algebra Algebra 1 Algebra 2 Prealgebra

07/23/21

Suppose a line is given parametrically by the equation 𝐿(𝑡)=⟨3−4𝑡,2−2𝑡,2⟩

Then the vector and point that were used to define this line were:v- = ?and p= ?

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Linear Algebra Algebra 1 Algebra 2 Prealgebra

07/22/21

Find a vector equation with parameter 𝑡 t for the line through the points (−1,−7,−4) ( − 1 , − 7 , − 4 ) and (−13,6,3).

find a vector answer r(t)=?

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Linear Algebra Algebra 1 Algebra 2 Algebra

07/22/21

Find a vector equation with parameter 𝑡 t for the line through the point (9,0,−3) ( 9 , 0 , − 3 ) and parallel to the vector 2𝐢−4𝐣+3𝐤.

find the vector. Answer: r(t)=?

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Linear Algebra Algebra 1 Algebra 2 Algebra

07/22/21

Find a vector equation with parameter 𝑡 t for the line through the points (−1,−7,−4) ( − 1 , − 7 , − 4 ) and (−13,6,3).

answer: r(t)= ? find a vector.

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Linear Algebra Algebra 1

07/20/21

Find a vector equation with parameter 𝑡 t for the line through the point (9,0,−3) ( 9 , 0 , − 3 ) and parallel to the vector 2𝐢−4𝐣+3𝐤.

Find a vector equation with parameter for the line through the point and parallel to the vector

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Linear Algebra Algebra 1 Algebra 2

07/20/21

Find a vector 𝑣⎯⎯⎯ v ¯ that is perpendicular to the plane through the points 𝐴=(2,1,−1) A = ( 2 , 1 , − 1 ) , 𝐵=(−2,3,0) B = ( − 2 , 3 , 0 ) , and 𝐶=(−5,−3,−5) C = ( − 5 , − 3 , − 5 ) .

Find a vector that is perpendicular to the plane through the points

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Linear Algebra Algebra 1 Algebra 2 Algebra

07/20/21

Find the area of the parallelogram with vertices 𝐴(−1,2,4) A ( − 1 , 2 , 4 ) , 𝐵(0,4,6) B ( 0 , 4 , 6 ) , 𝐶(1,1,5) C ( 1 , 1 , 5 ) , and 𝐷(2,3,7) D ( 2 , 3 , 7 ) .

Find the area of the parallelogram with vertices , , , and .

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Linear Algebra Algebra 1 Algebra 2 Algebra

07/20/21

Consider the vector 𝑣⎯⎯⎯ v ¯ between (−2,4,−5) ( − 2 , 4 , − 5 ) and (5,−2,−4) ( 5 , − 2 , − 4 ) .

the vector v ¯ is? THE LENGTH OF v ¯ IS? if the tail of v ¯ is at (5,-1,1), then the tip is at? if the tip of v ¯ is at (0, -5, -2) then the tail is at ? what vector has the same length as v ¯ but... more

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Linear Inequality

Not getting the correct answer need help

Quantitative techniques

Determine if U={(x,y)∈ R^2:y=-5x=5 is a subspace of R^2

Find the angle 𝜃 θ between the vectors 𝐚=10𝐢−𝐣−5𝐤 a = 10 i − j − 5 k and 𝐛=2𝐢+𝐣−8𝐤 b = 2 i + j − 8 k

Let 𝐯=𝑃𝑄→ v = P Q → , where 𝑃=(−2,2),𝑄=(2,5) P = ( − 2 , 2 ) , Q = ( 2 , 5 ) . Which of the vectors with the following given tails and heads are equivalent to 𝐯 v ?

Let 𝐚=⟨2,4,2⟩ a = ⟨ 2 , 4 , 2 ⟩ and 𝐛=⟨−4,0,3⟩ b = ⟨ − 4 , 0 , 3 ⟩ . Show that there are scalars 𝑠 s and 𝑡 t so that 𝑠𝐚+𝑡𝐛=⟨−18,−4,10⟩

Find the point at which the line ⟨1,0,−4⟩+𝑡⟨1,3,−5⟩ ⟨ 1 , 0 , − 4 ⟩ + t ⟨ 1 , 3 , − 5 ⟩ intersects the plane 4𝑥−3𝑦−2𝑧=57 4 x − 3 y − 2 z = 57 .

Find the distance the point P(-2, 2, 3), is to the plane through the three points Q(-1, 0, 2), R(1, -2, 5), and S(-3, -2, 4).

Find the linear equation of the plane through the point (2,10,6) ( 2 , 10 , 6 ) and parallel to the plane 𝑥+5𝑦+3𝑧+4=0.

Find an equation for the plane through the points (5,3,4),(−1,0,2),(0,2,−1).

Find an equation for the plane through the points (5,3,4),(−1,0,2),(0,2,−1).

Consider the plane which passes through the three points: (6,0,1) ( 6 , 0 , 1 ) , (9,−2,−3) ( 9 , − 2 , − 3 ) , and (9,−1,−1) ( 9 , − 1 , − 1 ) .

Thetwovectors 𝑢⎯⎯=⟨−1,2,2⟩ u ¯ = ⟨−1 ,2 , 2⟩ and 𝑣⎯-=⟨−3,−3,2⟩ v ¯ = ⟨ − 3 , − 3 , 2 ⟩ determine a plane in space. Mark vectors below asT if the vector lies in same plane as 𝑢⎯⎯⎯u ¯ and 𝑣⎯⎯⎯ v ¯

Find the intercepts of the plane 5𝑥+𝑦+10𝑧=50. 5 x + y + 10 z = 50. Write your answers as points (𝑎,𝑏,𝑐) ( a , b , c ) where 𝑎 a , 𝑏 b , and 𝑐 c are numbers.

Find the linear equation of the plane through the point (2,10,6) ( 2 , 10 , 6 ) and parallel to the plane 𝑥+5𝑦+3𝑧+4=0.

Find the linear equation of the plane through the origin and perpendicular to the vector ⟨−5,4,4⟩.

Suppose a line is given parametrically by the equation 𝐿(𝑡)=⟨3−4𝑡,2−2𝑡,2⟩

Find a vector equation with parameter 𝑡 t for the line through the points (−1,−7,−4) ( − 1 , − 7 , − 4 ) and (−13,6,3).

Find a vector equation with parameter 𝑡 t for the line through the point (9,0,−3) ( 9 , 0 , − 3 ) and parallel to the vector 2𝐢−4𝐣+3𝐤.

Find a vector equation with parameter 𝑡 t for the line through the points (−1,−7,−4) ( − 1 , − 7 , − 4 ) and (−13,6,3).

Find a vector equation with parameter 𝑡 t for the line through the point (9,0,−3) ( 9 , 0 , − 3 ) and parallel to the vector 2𝐢−4𝐣+3𝐤.

Find a vector 𝑣⎯⎯⎯ v ¯ that is perpendicular to the plane through the points 𝐴=(2,1,−1) A = ( 2 , 1 , − 1 ) , 𝐵=(−2,3,0) B = ( − 2 , 3 , 0 ) , and 𝐶=(−5,−3,−5) C = ( − 5 , − 3 , − 5 ) .

Find the area of the parallelogram with vertices 𝐴(−1,2,4) A ( − 1 , 2 , 4 ) , 𝐵(0,4,6) B ( 0 , 4 , 6 ) , 𝐶(1,1,5) C ( 1 , 1 , 5 ) , and 𝐷(2,3,7) D ( 2 , 3 , 7 ) .

Consider the vector 𝑣⎯⎯⎯ v ¯ between (−2,4,−5) ( − 2 , 4 , − 5 ) and (5,−2,−4) ( 5 , − 2 , − 4 ) .

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