Let a = (-6, 2, 7) and b = (10, –1,6) be vectors. (A) Find the scalar projection of b onto a. Scalar Projection: (B) Decompose the vector b into a component parallel to a and a component orthogonal to a. Parallel component: ( Orthogonal Component: (

Q: Let a = (-10, –10, 10) and b = (8, –4, –4) be vectors. (A) Find the scalar projection of b onto a.…

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Q: Let u = 2i - 5j, v = -3i + 7j, and w = -i - 6j. Find the specified vector or scalar 6v

A: Given: The vectors u = 2i - 5j, v = -3i + 7j, and w = -i - 6j

Q: The orthogonal projection of the vector u=(-1,-2) on a=(-2,3) is 8 12 а) 13 13 13 b) 8 13 12 4 c) 13…

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Q: Let u = -i + j, v = 3i - 2j, and w = -5j.Find specified scalar 5u . (3v - 4w)or vector.

A: It is given that  u = -i + j, v = 3i - 2j, and w = -5j

Q: Let a = (-10, – 10, 10) and b = (8, –4, –4) be vectors. %3! (A) Find the scalar projection of b onto…

A: Here find projection of b on a

Q: Hi, any help on this problem would be greatly appreciated. Thank you!

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Q: Let a = (5, 3, 8) and b = (-3, –2,–7) be vectors. (A) Find the scalar projection of b onto a. Scalar…

A: Given data is: a=5,3,8 and b=-3,-2,-7

Q: Find a vector orthogonal to both v and u. V = 2i - 2j + k, u = -4i - 4j + 5k -6i - 7j + 7k 6i + 7j +…

A: Given is           v = 2i -2j +k           u = -4i-4j +5k         two vector a & b said to be…

Q: Let u = 2i - 5j, v = -3i + 7j, and w = -i - 6j.Find specified vector or scalar 6v.

A: Given vector is v = -3i +7j.

Q: Find the scalar and vector projections of b onto a, where a = (2, −2, 1) and b =  (IMAGE)

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Q: Find the scalar and vector projections of b onto a. a = (1, 5), b = (-6, 1) comp,b proj b

A: a = 1i + 5j  b =  -6i + 1j

Q: Find the scalar and vector projections of b onto a. a = ⟨-3,4⟩, b = ⟨7,9⟩ scalar projection of b…

A: The given points in vector form, a→=-3i^+4j^b→=7i^+9j^ The Scalar Projection of b onto a, is given…

Q: Let u = 2i - 5j, v = -3i + 7j, and w = -i - 6j. Find the specified vector or scalar v - u.

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Q: Consider vectors a = (2, -8), b = (-1, 4), andc = 0. Determine the non-zero scalars a and B such…

A: Consider vectors a=(2,-8) , b=(-1,4) and c=0. We have to determine the non-zero scalars alpha and…

Q: Let a = (-1,6, –5) and b = (-7,3, –1) be vectors. (A) Find the scalar projection of b onto a. Scalar…

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Q: Let u = 2i - 5j, v = -3i + 7j, and w = -i - 6j. Find the specified vector or scalar -7w.

A: Given: u=2i-5jv=-3i+7jw=-i-6j

Q: 24. If A and B are nonzero vectors, prove that the vector A- cB is orthogonal to B if e= A· B/|B.…

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Q: Determine the vector, parametric, and Cartesian (Scalar) equations for the line that passes through…

A: To find the equation of line that passes through the point A(4,-1) and is also perpendicular to line…

Q: Find the scalar and vector projections of b onto a. a = (1,6), b = (-7, 1) compab = projb =

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Q: Find the scalar and vector projections of b onto a. a = (-3, 4), b = (7, 9) scalar projection of b…

A: Give a→=<-3,4>, b→=<7,9>We find the scalar and vector projection of b→ and a→

Q: Let a (-2, –1,9) and b = (-8, 4, 3) be vectors. (A) Find the scalar projection of » onto a. Scalar…

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Q: ) Let a = (-7, -4, 7) and b = (10, –9, –8) be vectors. (A) Find the scalar projection of b onto a.…

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Q: Find the scalar and vector projections of b onto a. a = (4,7,-4) b =(4,-1, 1)

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Q: Find the vector component of the vector U orthogonal to a: и %3D (4, —1,2) and a %3D (1,3, —2).…

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Q: B) Let V = -2î +j- 5k and W = projection and the vector projection of V onto W. -21 – 4j – 3k be…

A: The given vectors are v→=-2i^+j^-5k^ and w→=-2i^-4j^-3k^

Q: . Prove that there is no distinction between contravariant and covariant vectors if the…

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Q: siven the vectors ủ = (-3, 3, 1) and v = (- 1, 1, 2), calculate the vector projection of ū onto v

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Q: Find the scalar and vector projections of b onto a, where a = (-1, 1, 2) and b = (-2,7,2). 1. comp,…

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Q: Let u = 2i - 5j, v = -3i + 7j, and w = -i - 6j. Find specified vector or scalar||-2u||.

A: given that u=2i-5j v-3i+7j w=-i-6j

Q: Find the scalar and vector projections of b onto a, where a = (-1,1,2) and b = (-4,5,8).

A: The solution of the problem is given in the next step.

Q: Can you find two vectors in R whose dot product is equal to their cross product? No, because the…

A: (iii) can you find two vectors in ℝ3whose dot product is equal to its cross product as we know , dot…

Q: Let u = (-3, -1, 3) and : = (3, 1, 2). Find the vector component of u orthogonal to a. a 3D

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: Let u = 2i - 5j, v = -3i + 7j, and w = -i - 6j.Find specified vector or scalar|| 2u||.

A: It is given that u=2i^-5j^, v=-3i^+7j^, w=-1i^-6j^. We have to find 2u   2u=4i^-10j^…

Q: Let a = (8, -6, 7) and b = (4, –10, 4) be vectors. (A) Find the scalar projection of b onto a.…

A: Givena=8,-6,7b=(4,-10,4,)

Q: Determine a scalar x so that the given vectors are orthogonal. A = xi +-j +xk 2. B =-3i +4j + xk

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Q: Let u = 2i - 5j, v = -3i + 7j, and w = -i - 6j.Find specified vector or scalar 5v.

A: Given vectors are u=2i-5j, v=-3i+7j and w=-i-6j. To find: The vector or scalar 5v. Solution: When we…

Q: True or False Of all of the possible scalar multiples of a vector v, the orthogonal projection of u…

A: This is a result which states that " Orthogonal projection of any vector a onto b is closest to a"

Q: Find the scalar AND vector projections of a onto b where a=(0,1,-2) and b=(-1,0,3)

A: Given , a = (0,1,-2) and b = (-1,0,3).

Q: Let u = 2i - 5j, v = -3i + 7j, and w = -i - 6j. Find the specified vector or scalar 5v.

A: Consider the given vectors u=2i-5j , v=-3i+7j , w=-i-6j

Q: Let u = -i + j, v = 3i - 2j, and w = -5j. Find the specified scalar or vector: 5u.(3v - 4w)

A: Given: u=-i+j, v=3i-2j and w=-5j

Q: Let u = -i + j, v = 3i - 2j, and w = -5j. Find the specified scalar or vector: proju (v - w)

A: Given that, u = -i + j v = 3i - 2j w = -5j Then we get, v - w = (3i - 2j) - (-5j) = 3i - 2j + 5j =…

Q: Let u = 2i - 5j, v = -3i + 7j, and w = -i - 6j. Find the specified vector or scalar 3v - 4w.

A: we have been given three vectors u = 2i - 5j, v = -3i + 7j, and w = -i - 6j we have to find  3v -…

Q: Find the orthogonal projection of the vector a (-9,-8, 7) in the direction of the (-3,-5,-2). vector…

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Q: Find the scalar and vector projections of b onto a, where a = (1,2) and b = (-–9, 1). %3D 1. comp, b…

A: We have to e the magnitudes of thr given vector first.

Q: Find the scalar and vector projections of b onto a. (4, 7, -4) ь 3 (3, -1, 1) a

A: a=4, 7, -4, b=3, -1, 1 1. Scalar projection of b onto a is Proj ba. Proj ba=b·aa          =3, -1,…