Let L be the line in R3³ that consists of all scalar multiples of the vector Find the orthogonal projection of the vector v= 6 onto L proj, v 5/9 52/9 31/9 H

Q: Compute the orthogonal projection of v= 7 onto the line through 4 2 and the origin.

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A: Orthogonal component of AP →=AP⇀sinθ we know AB⇀×AP⇀= AB⇀AP⇀sinθ

Q: state a vector with all non-zero entries which is orthogonal to v⃗

A: Given v vector  Let w vector be orthogonal to v vector  Then w vector . v vector = 0

Q: Find the equations of the traces in the coordinate planes and sketch them z = x2 +9y2

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Q: Calculate the triple scalar products w. (vx u) and u (w x v), where u = (7, 2, -1), v = (2, 8, -3),…

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Q: Consider the points P(2,4,3) and Q (1, –5,2) in 3- space. Find the position vectors rī and rz for P…

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Q: Find the d. c. of T from definition.

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Q: Find the projection of vector u⃗ = −i + 5j + 3k onto the vector v = −i + j − 3k?

A: Projection of vector u on vector v is given by  Projv(u) = u.vv2 v Here u = -i+5j+3kv = -i+j-3k…

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A: Given α=0.3. Let At represent the actual values of the occupancy rate and Ft represent the forecast…

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A: The plane passes through the point p0 whose position vector is r0→. The plane also passes through…

Q: Find the orthogonal projection of the vector onto the vector .

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Q: For the vectors à = (1, 0, −4) and ¯` = (5, 2, 1) what is the scalar a projection of onto a 1/17 √17…

A: The vectors are given by÷

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A: Given, A=( 1,1,0 ); B=( -2,3,-4 ); P=( -3,1,6 )To find: Distance from point P to the line through A…

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A: Answer is 10.1

Q: If T: R R´is a linear transformation such that 1 -4 T. .T -3 1 0. -3 and T 0 = 0. -2 4 then T 4 -1…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Determine the vector projection of the vector (5,0, 7) on the vector (–1,3,4).

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Q: Find the projection of the vector v onto the vector w if v = 2i + j and w = 6i + 3j

A: we have given v and w vectors . We have to find the projection of the vector v onto the vector w

Q: Let L be the line in R that consists of all scalar multiples of the vector 2 Find the orthogonal…

A: Concept:

Q: 2 Let I be the line in R³ that consists of all scalar multiples of the vector w = -[] 2 Find the…

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Q: Let I be the line in R³ that consists of all scalar multiples of the vector 2. Find the orthogonal…

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