Question

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, 8)

c)

 P(-9, 12, 6)

d)

 P(-36/5, 48/5, 36/5)

c. A vector of length 5 perpendicular to both u = (3, -1, 5) and v =(2, 1, 0) has coordinates

i. (-25/sqrt150, 50/sqrt150, 25/sqrt150)

ii. (-25,50,25)

iii. (-5/sqrt150, 10/sqrt150, 5/sqrt150)

iv. (-5,10,5)

d. If u, v and w are mutually perpendicular vectors, which of the following would not be true?

a)

 v • (u - w) = 0

b)

 w • (v + u) = 0

c)

 v • (w × u) = 0

d)

 (u × v) • (u × w) = 0

e. The derivative of (x4 - 2)5 is

a)

 5(4x3)4

b)

 5(4x4 - 2)4

c)

 20x3(x4 - 2)4

d)

 20x(x4 - 2)4

f. Which of the following is not an equivalent way of expressing the term "derivative?"

a)

 average rate of change

b)

 slope of the tangent

c)

 slope of the curve

d)

 instantaneous rate of change
Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

For any doubt please ask me..and if you satisfied please thumbs-up for this answer

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
5. a) Suppose that the area of the parallelogram spanned by the vectors ~u and ~v...
5. a) Suppose that the area of the parallelogram spanned by the vectors ~u and ~v is 10. What is the area of the parallogram spanned by the vectors 2~u + 3~v and −3~u + 4~v ? (b) Given (~u × ~v) · ~w = 10. What is ((~u + ~v) × (~v + ~w)) · ( ~w + ~u)? [4] 6. Find an equation of the plane that is perpendicular to the plane x + 2y + 4 =...
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...
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...
5. Perform the following operations on the vectors u=(-4, 0, 2), v=(-1, -5, -4), and w=(0,...
5. Perform the following operations on the vectors u=(-4, 0, 2), v=(-1, -5, -4), and w=(0, 3, 4) u*w= (u*v)u= ((w*w)u)*u= u*v+v*w=
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.
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]...
please answer all of them; only need final answer h. The length of the vector c...
please answer all of them; only need final answer h. The length of the vector c = (2, -3, 1) is? i. If |r| = 4, then the value of |-5r| is? j. The cross product of vectors a = (-1, 4, 6) and b = (3, 0, 2) is? k. The vectors v = (3, 4) is projected onto the x-axis The length of the projection is? l. Rounded to the nearest integer, a two-dimensional vector with length 13...
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 =   ...
(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 ⊥...
Answer all of the questions true or false: 1. a) If one row in an echelon...
Answer all of the questions true or false: 1. a) If one row in an echelon form for an augmented matrix is [0 0 5 0 0] b) A vector b is a linear combination of the columns of a matrix A if and only if the equation Ax=b has at least one solution. c) The solution set of b is the set of all vectors of the form u = + p + vh where vh is any solution...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT