Question

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 to u, and |u × v| = |u||v|sin θ.

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
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,...
Let u, v, and w be vectors in Rn. Determine which of the following statements are...
Let u, v, and w be vectors in Rn. Determine which of the following statements are always true. (i) If ||u|| = 4, ||v|| = 5, and ?||u + v|| = 8, then u?·?v = 4. (ii) If ||u|| = 2 and ||v|| = 3, ?then |u?·?v| ? 5. (iii) The expression (v?·?w)u is both meaningful and defined. (A) (ii) and (iii) only (B) (ii) only (C) none of them (D) all of them (E) (i) only (F) (i) and...
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>
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]...
2. Given ⃗v = 〈3,4〉 and w⃗ = 〈−3,−5〉 find (a) comp⃗vw⃗ (b) proj⃗vw⃗ (c) The...
2. Given ⃗v = 〈3,4〉 and w⃗ = 〈−3,−5〉 find (a) comp⃗vw⃗ (b) proj⃗vw⃗ (c) The angle 0 ≤ θ ≤ π (in radians) between ⃗v and w⃗. 1. Let d--> =2i−4j+k. Write⃗a=3i+2j−6k as the sum of two vectors⃗v,w⃗, where⃗v is perpendicular to d--> and w⃗ is parallel to d-->.
Find the angle θ (in radians and degrees) between the lines. (Let 0 ≤ θ <...
Find the angle θ (in radians and degrees) between the lines. (Let 0 ≤ θ < π/2 and 0 ≤ θ < 90°. Round your answers to three decimal places.) 0.02x − 0.05y = −0.23 0.01x + 0.04y = 0.52
3. Let P = (a cos θ, b sin θ), where θ is not a multiple...
3. Let P = (a cos θ, b sin θ), where θ is not a multiple of π/2 be a point on the ellipse (x 2/ a2 )+ (y 2/ b 2) = 1, where a ≥ b > 0; and let P1 = (a cos θ, a sin θ) the corresponding on the circle x 2 /a2 + y 2/ a2 = 1. Prove that the tangent to the ellipse at P and the tangent to the circle at...
Let U and V be subspaces of the vector space W . Recall that U ∩...
Let U and V be subspaces of the vector space W . Recall that U ∩ V is the set of all vectors ⃗v in W that are in both of U or V , and that U ∪ V is the set of all vectors ⃗v in W that are in at least one of U or V i: Prove: U ∩V is a subspace of W. ii: Consider the statement: “U ∪ V is a subspace of W...
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.
Let u = <3, 2, 5> and v = <-2,5,4> Compute the angle between u and...
Let u = <3, 2, 5> and v = <-2,5,4> Compute the angle between u and v     b) Compute proj v u
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT