Question

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] is a unit vector, find C. and v2 = [1/2, 3/2],

find v1 + v2 and graph it.

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
Find the angle theta between vectors u=(5,6) and v=(-8,7). Find a unit vector orthogonal to v.
Find the angle theta between vectors u=(5,6) and v=(-8,7). Find a unit vector orthogonal to 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
Suppose the vectors v1, v2, . . . , vp span a vector space V ....
Suppose the vectors v1, v2, . . . , vp span a vector space V . (1) Show that for each i = 1, . . . , p, vi belongs to V ; (2) Show that given any vector u ∈ V , v1, v2, . . . , vp, u also span V
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 =   ...
In 3 dimensions, draw vectors u, v, w, and x such that u+v+w=x. The vectors u...
In 3 dimensions, draw vectors u, v, w, and x such that u+v+w=x. The vectors u and x share an initium. You may pick the size of your vectors. Make sure the math works. Find the angle between vector x and vector u.
(a) Do the vectors v1 = 1 2 3 , v2 = √ 3 √ 3...
(a) 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 = (1 0 −1 0) , a2 = 0 1 0 −1. Find a basis for the orthogonal complement V ⊥...
1) If u and v are orthogonal unit vectors, under what condition au+bv is orthogonal to...
1) If u and v are orthogonal unit vectors, under what condition au+bv is orthogonal to cu+dv (where a, b, c, d are scalars)? What are the lengths of those vectors (express them using a, b, c, d)? 2) Given two vectors u and v that are not orthogonal, prove that w=‖u‖2v−uuT v is orthogonal to u, where ‖x‖ is the L^2 norm of x.
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.
1) Find the angle θ between the vectors a=9i−j−4k and b=2i+j−4k. 2)  Find two vectors v1 and...
1) Find the angle θ between the vectors a=9i−j−4k and b=2i+j−4k. 2)  Find two vectors v1 and v2 whose sum is <-5, 2> where v1 is parallel to <-3 ,0> while v2 is perpendicular to < -3,0>
2. Two vectors, ~v1 and ~v2. ~v1 has a length of 12 and is oriented at...
2. Two vectors, ~v1 and ~v2. ~v1 has a length of 12 and is oriented at an angle θ1 = 30o relative to the positive x−axis. ~v2 has a length of 6 and is oriented at an angle θ2 = 0o relative to the positive x−axis (it is aligned with the positive x−axis) a. What are the magnitude and direction (angle) of the sum of the two vectors ( 1+2 ~v = ~v1 + ~v2)? b. What are the magnitude...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT