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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 Algebra Algebra 1 Algebra 2 Algebra

07/20/21

𝑣=⟨7,3,10⟩ v = ⟨ 7 , 3 , 10 ⟩ 𝑤=⟨6,6,10⟩ w = ⟨ 6 , 6 , 10 ⟩ Find the cosine of the angle between 𝑣 v and 𝑤 w .

Find the cosine of the angle between and .

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Linear Algebra Algebra 1 Algebra 2 Algebra

07/20/21

) Given the vectors 𝑎=(1,2,3) a = ( 1 , 2 , 3 ) and 𝑏=(1,−1,2) b = ( 1 , − 1 , 2 ) , what is the dot product 𝑎⋅𝑏⋅𝑎 a ⋅ b ⋅ a ?

) Given the vectors and , what is the dot product ?

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Linear Algebra Algebra 1 Algebra 2 Algebra

07/20/21

Which of the following vectors is perpendicular to 𝑎=(1,2,3) a = ( 1 , 2 , 3 ) and 𝑏=(1,−1,2) b = ( 1 , − 1 , 2 ) ?

which of the following is perpendicualr to said vector

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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 Algebra Algebra

07/20/21

Find 𝐚⋅𝐛 a ⋅ b if |𝐚|=6 | a | = 6 , |𝐛|=1 | b | = 1 , and the angle between 𝐚 a and 𝐛 b is 𝜋/4 π / 4 .

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Linear Algebra Maths

07/20/21

Suppose T: R² → R² is a linear operator with T ([1,2]) = [1, 1] and T ([2,0]) = [2, −4].

Give a formula T([x, y]) for any[x, y] ∈ R² . Also find a basis for ker(T), a basis for range(T) and verify the dimension theorem

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Linear Algebra Maths

07/20/21

For the subspace W = {[x, y, z] ∈ R³ ∶ 2x − 2y + z = 0} of R³,

find a basis for the orthogonal complement W‘ and verify that dim(W) + dim(𝑊') = dim(R³ ) Decompose v = [1, 2, 3] into w1 + w2, where 𝑤1 ∈ W and 𝑤2∈ 𝑊'

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Linear Algebra Maths

07/20/21

Find the minimum distance between the given point P and the given subspace W of R³, P = (4, −1, 2), W = span({[−2, 3, −3]}) in R³

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Linear Algebra Linear Equations

07/18/21

how to write this in point-slope intercept form? Slope=-2 and point=(1,-1)

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Linear Algebra

07/18/21

how to write this in point-slope intercept form? Slope=-6/5 and Y-intercept=2.

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Linear Algebra Slope Intercept Form

07/18/21

How to write point one=(0,-2) and point two=(-3,-5) in slope-intercept form?

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Linear Algebra Slope Intercept Form

07/18/21

Slope=-4 and Point=(2,-4) how to write it in slope-intercept form?

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Linear Algebra Slope Intercept Form

07/18/21

Slope=-4 and Point=(2,-4) how to write it in slope-intercept form?

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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 ) .

𝑣=⟨7,3,10⟩ v = ⟨ 7 , 3 , 10 ⟩ 𝑤=⟨6,6,10⟩ w = ⟨ 6 , 6 , 10 ⟩ Find the cosine of the angle between 𝑣 v and 𝑤 w .

) Given the vectors 𝑎=(1,2,3) a = ( 1 , 2 , 3 ) and 𝑏=(1,−1,2) b = ( 1 , − 1 , 2 ) , what is the dot product 𝑎⋅𝑏⋅𝑎 a ⋅ b ⋅ a ?

Which of the following vectors is perpendicular to 𝑎=(1,2,3) a = ( 1 , 2 , 3 ) and 𝑏=(1,−1,2) b = ( 1 , − 1 , 2 ) ?

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

Find 𝐚⋅𝐛 a ⋅ b if |𝐚|=6 | a | = 6 , |𝐛|=1 | b | = 1 , and the angle between 𝐚 a and 𝐛 b is 𝜋/4 π / 4 .

Suppose T: R² → R² is a linear operator with T ([1,2]) = [1, 1] and T ([2,0]) = [2, −4].

For the subspace W = {[x, y, z] ∈ R³ ∶ 2x − 2y + z = 0} of R³,

Find the minimum distance between the given point P and the given subspace W of R³, P = (4, −1, 2), W = span({[−2, 3, −3]}) in R³

how to write this in point-slope intercept form? Slope=-2 and point=(1,-1)

how to write this in point-slope intercept form? Slope=-6/5 and Y-intercept=2.

How to write point one=(0,-2) and point two=(-3,-5) in slope-intercept form?

Slope=-4 and Point=(2,-4) how to write it in slope-intercept form?

Slope=-4 and Point=(2,-4) how to write it in slope-intercept form?

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