Question

Determine whether the given vectors parallel, orthogonal, or neither. If they are neither parallel nor orthogonal,...

Determine whether the given vectors parallel, orthogonal, or neither. If they are neither parallel nor orthogonal, give the acute angle between them, to the nearest degree.

a) u = 〈7, −2, 3〉

v = 〈−1, −4, 5〉

b.) u = 〈−3, 4, −6〉

v = 〈-12 , 16,- 24〉

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Determine whether the given vectors are orthogonal, parallel, or neither. a = -i + 3j +...
Determine whether the given vectors are orthogonal, parallel, or neither. a = -i + 3j + 4k    and    b = 5i + 3j - k Please show all work and do not use cursive. Thank you for your help!
1. Determine whether the lines are parallel, perpendicular or neither. (x-1)/2 = (y+2)/5 = (z-3)/4 and...
1. Determine whether the lines are parallel, perpendicular or neither. (x-1)/2 = (y+2)/5 = (z-3)/4 and (x-2)/4 = (y-1)/3 = (z-2)/6 2. A) Find the line intersection of vector planes given by the equations -2x+3y-z+4=0 and 3x-2y+z=-2 B) Given U = <2, -3, 4> and V= <-1, 3, -2> Find a. U . V b. U x V
1. Compute the angle between the vectors u = [2, -1, 1] and and v =...
1. Compute the angle between the vectors u = [2, -1, 1] and and v = [1, -2 , -1] 2. Given that : 1. u=[1, -3] and v=[6, 2], are u and v orthogonal? 3. if u=[1, -3] and v=[k2, k] are orthogonal vectors. What is the value(s) of k? 4. Find the distance between u=[root 3, 2, -2] and v=[0, 3, -3] 5. Normalize the vector u=[root 2, -1, -3]. 6. Given that: v1 = [1, - C/7]...
1. Solve all three: a. Determine whether the plane 2x + y + 3z – 6...
1. Solve all three: a. Determine whether the plane 2x + y + 3z – 6 = 0 passes through the points (3,6,-2) and (-1,5,-1) b. Find the equation of the plane that passes through the points (2,2,1) and (-1,1,-1) and is perpendicular to the plane 2x - 3y + z = 3. c. Determine whether the planes are parallel, orthogonal, or neither. If they are neither parallel nor orthogonal, find the angle of intersection: 3x + y - 4z...
please answer all of them a. Suppose u and v are non-zero, parallel vectors. Which of...
please answer all of them a. Suppose u and v are non-zero, parallel vectors. Which of the following could not possibly be true? a) u • v = |u | |v| b) u + v = 0 c) u × v = |u|2 d) |u| + |v| = 2|u| b. Given points A(3, -4, 2) and B(-12, 16, 12), point P, lying between A and B such that AP= 3/5AB would have coordinates a) P(-27/5, 36/5, 42/5) b) P(-6, 8,...
For the vectors Bold u equalsleft angle 3 comma 1 right angle and Bold v equalsleft...
For the vectors Bold u equalsleft angle 3 comma 1 right angle and Bold v equalsleft angle negative 1 comma negative 4 right angle​, express Bold u as the sum Bold u equalsBold pplusBold n​, where Bold p is parallel to Bold v and Bold n is orthogonal to Bold v.
Find the orthogonal projection of u onto the subspace of R4 spanned by the vectors v1,...
Find the orthogonal projection of u onto the subspace of R4 spanned by the vectors v1, v2 and v3. u = (3, 4, 2, 4) ; v1 = (3, 2, 3, 0), v2 = (-8, 3, 6, 3), v3 = (6, 3, -8, 3) Let (x, y, z, w) denote the orthogonal projection of u onto the given subspace. Then, the components of the target orthogonal projection are
6.(a) Determine whether the lines ?1and ?2 are parallel, skew, or intersecting. If they intersect, find...
6.(a) Determine whether the lines ?1and ?2 are parallel, skew, or intersecting. If they intersect, find the point of intersection. [6 points] ?1: ? = 5 − 12 ?, ? = 3 + 9?, ? = 1 − 3? ?2: ? = 3 + 8?, ? = −6?, ? = 7 + 2? (b) Find the distance between the given parallel planes. [10 points] 2? − 4? + 6? = 0, 3? − 6? + 9? = 1
Let u and v be vectors in 3-space with angle θ between them, 0 ≤ θ...
Let u and v be vectors in 3-space with angle θ between them, 0 ≤ θ ≤ π. Which of the following is the only correct statement? (a) u × v is parallel to v, and |u × v| = |u||v| cos θ. (b) u × v is perpendicular to u, and |u × v| = |u||v| cos θ. (c) u × v is parallel to v, and |u × v| = |u||v|sin θ. (d) u × v is perpendicular...
Do the vectors v1 =   1 2 3   , v2 = ...
Do the vectors v1 =   1 2 3   , v2 =   √ 3 √ 3 √ 3   , v3   √ 3 √ 5 √ 7   , v4 =   1 0 0   form a basis for R 3 ? Why or why not? (b) Let V ⊂ R 4 be the subspace spanned by the vectors a1 and a2, where a1 =   ...