Let a = (-1,6, –5) and b = (-7,3, –1) 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: ( DD Orthogonal Component: (, 00

Q: Let a, b, and c be three-dimensional vectors. Identify whether the expression a x (b x c) will…

A: a,b and identify whether the expression   a×(b×c)  will result to a vector or to a scalar cross…

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: Find a non-zero vector a perpendicular to the vectors [3] and ū = 2 1

A: Given, v→ = 372  and  u→ = 121   We have to find the non zero x→ vector perpendicular to both the…

Q: Then w is an element of W. Write w in parametric vector form. - 14 1 (c, d in R) ession found for w…

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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: Find the vector X (in standard coordinates) determined by the given coordinate vector xB and the…

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Q: Let x and y be vectors in the R³. Suppose that x is a scalar product of 2 and the vector y. Prove…

A: x and y are vector in R3, x is scalar or dot product of 2 and y vector,  it means x = 2.y,

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: The vectors a =(1; 4; 2021) and b = (2; -8; 199) are obviously non-orthogonal because the dot…

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

Q: Find the vector x determined by the given coordinate vector (xlg and the given basis 8.

A: In this question, we have given the Basis set of vector space and the coordinate vector [X]B. By…

Q: Find the vector projection of B= 61+ij+2k onto A=1-2j-2k and scalar component of B in the direction…

A: projba = a.ba2b now, <a> = 6i→ + 3j→ + 2k→ <b> = (i→ -2j→-2k→) so, a.b = (6i→+3j→+2k→).…

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

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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: Find the scalar and vector projections of b onto a. a = 3i - j+ 6k, b = j+k = j+ k compab = projąb =

A: Here we find the scalar and vector projection of b→ onto a→where a→=3i∧-j∧+6k∧ , b→=j∧+12k∧

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

A: It is given that, v = -5i + 2j and w = 2i - 4j

Q: Find a unit vector parallel to the vector a´. a'= (-2,3,–1)

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

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

A: Given  u = 2i - 5j, v = -3i + 7j, and w = -i - 6j. We need to find the specified vector or scalar…

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

A: Given: v=i-5j and w=-2i+7j

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: 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: 2a)Use triple scalar to verify that the following vectors are not coplanar. a=[-2,1,0], 5=[-3,4,5],…

A: Given problem:- 2a)Use triple scalar to verify that the following vectors are not coplanar.…

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

A: Here given as u = 2i - 5j, v = -3i + 7j, and w = -i - 6j. Thus -2u=-2·2i+2·5j=-4i+10j

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: 5) Find the scalar and vector projections of b onto a. a = 5i – k, b= i + 2j + 3k %3D -

A: