Suppose that u, v, and w are vectors such that = 3, = -2, = 5, llull Evaluate the following expression. = 1, |lv|| = 7, ||w|| 8.

Q: Given vectors v = (3, -1) and w = 1 (-4, 6), find 2v - 2W {8, -5) (4, -5) (-5, 4) (-8, 5) (-8, -5)

A:

Q: Let A = (4, –4,4, 0) and B = (-4,3, –4, 1) be points in R*

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 4

A: We are given the following vectors.

Q: response. Justlfy_your ans 1 1 -1 is a linear combination of the vectors y, 2 Show whether or not…

A:

Q: What vector v is given by the coordinate vector B = -21 - -5 1 1 -2 -5] -5 4 {JEJEJEJ} -5 3 -1 3 ? 5…

A:

Q: If possible, find a linear combination of the form w = a₁v₁ + a₂V₂ + a3V3 where v₁ = (2, -1, 4), V₂…

A:

Q: The vectors (2,10, 4) and (1, 3, x) are orthogonal if and only if x= -8. Ignore "Give your reasons"…

A:

Q: Given u = (-5,2) and 7 = (-9, 12), find the vector 4u + v. Select the correct answer below: O (-23,…

A:

Q: Find u · v. (7, 9) v = (-2, 4) V u.v u:v =

A:

Q: Determine if u = (4,3) and v = (1/2 , - 2/3) are orthogonal, parallel or neither.

A:

Q: A direction vector of the line passing through the points A (3,-1,-2) and B(-1,2,1) is <-4, 3,3). •…

A:

Q: 3) |x| = 7, y = 8, and|x - y = 10, determine | x + y. Hint: sketch out these 4 vectors on the same…

A: We know that the vector parallelogram rules  ||A+B||^2+||A-B||^2=2||A||^2+2||B||^2

Q: For the given vectors u and v, find the cross product u x v. *- (₁₁-1-1) u x V = u = (-2, 6, 3), v =

A:

Q: 10. If 3(a, 3, 2)-2(3, b, b) = (-3, 1, -2), determine a and b. Describe the set spanned by the…

A:

Q: 4 16 -- 12 -21 4. Is the vector in the span of the vectors 10 12 -8 and 8 ? Explain!

A: