Let a = (8, -6, 7) and b = (4, –10, 4) 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 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: 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: 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. a = (1, 5), b = (-6, 1) comp,b proj b

A: a = 1i + 5j  b =  -6i + 1j

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

A:

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

A:

Q: Find the projection of u onto v and find the vector component of u orthogonal to v. u = ⟨8, 2, 0⟩,…

A: Consider the given vector u=8,2,0 and v=2,1,-1

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…

A:

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

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

Q: Calculate a projection of vector B on A and prophecy of vector A on B. A = 4i - 3j + 2k.     B = 3i…

A:

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

A:

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

A: Given u=2i-5j, v=-3i+7j.

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

A:

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

A:

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

A:

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: a. Please provide a well explained answer for the follwoing. And explain what are the components of…

A: Components of vector  In two dimensional ,any  vector can divide into two components x -…

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

A:

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: Find the scalar and vector projections of b onto a. = (3, –6, –2), b = (3, 3, 2) a

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Q: Calculate the coordinates of the vector w obtained by rotating anticlockwise the vector v= [0, -1,…

A: When a coordinate is being rotated along the direction of a vector by a certain angle, the new…

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

A:

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

A: Given: u=2i-5j,v=-3i+7j and w=-i-6j. To find: 3u+4v Solution:…

Q: Find non-zero vectors I and 7 that are both orthogonal to and orthogonal to each other.

A:

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: Determine all vectors v that are orthogonal to u.u = (0, 5)

A:

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

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

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 = -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: Compute the projection of →a→ onto →b→ and the vector component of →a→ orthogonal to →b→. Let…

A:

Q: Determine whether the vector v = 8 is spanned by the vectors and 3 or not.

A: Given three vectors and we have to find if  v=789 is spanned by111 and 123

Q: Let a = (-6, 2, 7) and b = (10, –1,6) be vectors. (A) Find the scalar projection of b onto a. Scalar…

A: Scaler projection of b onto a = b→.a→a→

Q: Use a dot product to determine whether the vectors u = ⟨1, 2, 3⟩ and v = ⟨4, 1, -2⟩ are orthogonal.

A:

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…

A:

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: The scalar projection of the vector 7 = (-2, 3, 1) on 7= (2m, -1, 3) is -1. Determine the value of…

A: Follow next step

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,…