1,975 Answered Questions for the topic linear algebra

Linear Algebra Calculus Precalculus Vector

08/23/21

Find a vector v such that ||v||=5 and v is in the same direction as i+4j .
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Linear Algebra Linear Equations

08/20/21

Linear equations word problem
A community center offers a 1-day craft show where people can rent booths to sell their hand-made goods.the community center charges $85 and an additional $15 per booth a person rents.(a) create an... more
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Linear Algebra

08/09/21

Determine the equation of the plane passing through the points A(4,1,1) B(0,0,5) and C(2,7,2)
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Linear Algebra Algebra 1 Algebra 2 Prealgebra

08/02/21

write the following numbers in a +bi form

A. (4+4i)/(-4+4i)=B. -3/3i + -4/2i=C. (5i)^3 =
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Linear Algebra Algebra 1 Algebra 2 Prealgebra

08/01/21

So the distance from 𝑃=(5,βˆ’4,4) P = ( 5 , βˆ’ 4 , 4 ) to the line through the points 𝐴=(2,5,1) A = ( 2 , 5 , 1 ) and 𝐡=(5,4,βˆ’2) B = ( 5 , 4 , βˆ’ 2 ) is
the distance d of a point P to the line through the points A and B is the length of the component of AP that is orthogonal to AB So the distance from 𝑃=(5,βˆ’4,4) P = ( 5 , βˆ’ 4 , 4 ) to the line... more
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Linear Algebra Algebra 1 Algebra 2 Prealgebra

08/01/21

Suppose π‘’βŽ―βŽ―βŽ―=⟨1,0⟩ u Β― = ⟨ 1 , 0 ⟩ and π‘£βŽ―βŽ―βŽ―=⟨2,βˆ’3⟩ v Β― = ⟨ 2 , βˆ’ 3 ⟩ are two vectors that form the sides of a parallelogram. Then the lengths of the two diagonals of the parallelogram are

Suppose π‘’βŽ―βŽ―βŽ―=⟨1,0⟩ u Β― = ⟨ 1 , 0 ⟩ and π‘£βŽ―βŽ―βŽ―=⟨2,βˆ’3⟩ v Β― = ⟨ 2 , βˆ’ 3 ⟩ are two vectors that form the sides of a parallelogram. Then the lengths of the two diagonals of the parallelogram are ????
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Linear Algebra Algebra 1 Algebra 2 Prealgebra

08/01/21

Suppose π‘’βŽ―βŽ―βŽ―=⟨1,0⟩ u Β― = ⟨ 1 , 0 ⟩ and π‘£βŽ―βŽ―βŽ―=⟨2,βˆ’3⟩ v Β― = ⟨ 2 , βˆ’ 3 ⟩ are two vectors that form the sides of a parallelogram. Then the lengths of the two diagonals of the parallelogram are

Suppose π‘’βŽ―βŽ―βŽ―=⟨1,0⟩ u Β― = ⟨ 1 , 0 ⟩ and π‘£βŽ―βŽ―βŽ―=⟨2,βˆ’3⟩ v Β― = ⟨ 2 , βˆ’ 3 ⟩ are two vectors that form the sides of a parallelogram. Then the lengths of the two diagonals of the parallelogram are ????
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Linear Algebra Algebra 1 Algebra 2 Prealgebra

08/01/21

Suppose 𝐡=(8,4) B = ( 8 , 4 ) and π΄π΅βˆ’β†’βˆ’=⟨15,1⟩ A B β†’ = ⟨ 15 , 1 ⟩ . Then

Suppose 𝐡=(8,4) B = ( 8 , 4 ) and π΄π΅βˆ’β†’βˆ’=⟨15,1⟩ A B β†’ = ⟨ 15 , 1 ⟩ . Then A= ??
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Linear Algebra Algebra 1 Algebra 2 Prealgebra

08/01/21

So the distance from 𝑃=(3,βˆ’3,3) P = ( 3 , βˆ’ 3 , 3 ) to the line through the points 𝐴=(βˆ’1,βˆ’4,0) A = ( βˆ’ 1 , βˆ’ 4 , 0 ) and 𝐡=(βˆ’3,0,βˆ’1) B = ( βˆ’ 3 , 0 , βˆ’ 1 ) is

The distanceΒ Β of a pointΒ Β to the line through pointsΒ  A and B is the length of the component AP ofΒ Β that is orthogonal to AB, as indicated in the diagram.So the distance from 𝑃=(3,βˆ’3,3) P = ( 3 , βˆ’... more
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Linear Algebra Algebra 1 Algebra 2 Prealgebra

08/01/21

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).

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 Prealgebra

08/01/21

Find the point at which the line βŸ¨βˆ’2,βˆ’2,0⟩+π‘‘βŸ¨βˆ’3,2,βˆ’1⟩ ⟨ βˆ’ 2 , βˆ’ 2 , 0 ⟩ + t ⟨ βˆ’ 3 , 2 , βˆ’ 1 ⟩ intersects the plane βˆ’3π‘₯+2π‘¦βˆ’2𝑧=62 βˆ’ 3 x + 2 y βˆ’ 2 z = 62 .

Find the point at which the line βŸ¨βˆ’2,βˆ’2,0⟩+π‘‘βŸ¨βˆ’3,2,βˆ’1⟩ ⟨ βˆ’ 2 , βˆ’ 2 , 0 ⟩ + t ⟨ βˆ’ 3 , 2 , βˆ’ 1 ⟩ intersects the plane βˆ’3π‘₯+2π‘¦βˆ’2𝑧=62 βˆ’ 3 x + 2 y βˆ’ 2 z = 62 .
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Linear Algebra Algebra 1 Algebra 2 Algebra

08/01/21

Find the point at which the line ⟨0,4,βˆ’4⟩+π‘‘βŸ¨4,5,βˆ’3⟩ ⟨ 0 , 4 , βˆ’ 4 ⟩ + t ⟨ 4 , 5 , βˆ’ 3 ⟩ intersects the plane βˆ’π‘₯+𝑦+𝑧=βˆ’10 βˆ’ x + y + z = βˆ’ 10 .

Find the point at which the line ⟨0,4,βˆ’4⟩+π‘‘βŸ¨4,5,βˆ’3⟩ ⟨ 0 , 4 , βˆ’ 4 ⟩ + t ⟨ 4 , 5 , βˆ’ 3 ⟩ intersects the plane βˆ’π‘₯+𝑦+𝑧=βˆ’10 βˆ’ x + y + z = βˆ’ 10 .
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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. πŸŽπŸπŸ“π’™2+ πŸπŸ‘π’™ + 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
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 πœƒ ΞΈ between the vectors 𝐚=10π’βˆ’π£βˆ’5𝐀 a = 10 i βˆ’ j βˆ’ 5 k and 𝐛=2𝐒+π£βˆ’8𝐀 b = 2 i + j βˆ’ 8 k
Find the angleΒ Β between the vectorsΒ Β andΒ 
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Linear Algebra Algebra 1 Algebra 2 Prealgebra

07/26/21

Let 𝐯=𝑃𝑄→ v = P Q β†’ , where 𝑃=(βˆ’2,2),𝑄=(2,5) P = ( βˆ’ 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=βŸ¨βˆ’4,0,3⟩ b = ⟨ βˆ’ 4 , 0 , 3 ⟩ . Show that there are scalars 𝑠 s and 𝑑 t so that π‘ πš+𝑑𝐛=βŸ¨βˆ’18,βˆ’4,10⟩
Β LetΒ Β andΒ . Show that there are scalarsΒ Β andΒ so thatΒ 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,βˆ’4⟩+π‘‘βŸ¨1,3,βˆ’5⟩ ⟨ 1 , 0 , βˆ’ 4 ⟩ + t ⟨ 1 , 3 , βˆ’ 5 ⟩ intersects the plane 4π‘₯βˆ’3π‘¦βˆ’2𝑧=57 4 x βˆ’ 3 y βˆ’ 2 z = 57 .
Find the point at which the lineΒ Β intersects the planeΒ .
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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).

Find the distance the point P(-2, 2, 3), is to the plane through the three pointsΒ Q(-1, 0, 2), R(1, -2, 5), and S(-3, -2, 4).Β 
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07/23/21

Find the linear equation of the plane through the point (2,10,6) ( 2 , 10 , 6 ) and parallel to the plane π‘₯+5𝑦+3𝑧+4=0.
Find the linear equation of the plane through the pointΒ Β and parallel to the planeΒ 
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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),(βˆ’1,0,2),(0,2,βˆ’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),(βˆ’1,0,2),(0,2,βˆ’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,βˆ’2,βˆ’3) ( 9 , βˆ’ 2 , βˆ’ 3 ) , and (9,βˆ’1,βˆ’1) ( 9 , βˆ’ 1 , βˆ’ 1 ) .

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