Question

-Let a and b be the vectors a = (1,−2,2) and b = (−3,4,0). (a) Compute...

-Let a and b be the vectors a = (1,−2,2) and b = (−3,4,0).

(a) Compute a · b.
(b) Find the angle between a and b. Leave it as an exact answer.
(c) Compute a × b.
(d) Find the area of the parallelogram spanned by a and b.
(e) True or False: The product a · (b × a) is a vector.

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
2. Calculate, from vectors A, B, C and D, the following: • The projection of vector...
2. Calculate, from vectors A, B, C and D, the following: • The projection of vector A on vector B • The area of the parallelogram that has the A and B vectors • The magnitude of the resulting vector of the AXB product • The CXD product and the direction of the resulting vector • Calculate the angle between vectors C and D • Calculate the magnitude (C · D) C • Find CXD · D A = -3i...
1. The unit vectors of A are 5i + 6j + k, the magnitude of vector...
1. The unit vectors of A are 5i + 6j + k, the magnitude of vector B is 8.36, the angles they make with the x-axis, and z and z are 53.26, 69 and 44.13 respectively. Determine the unit vectors of B, the angles with the axes of A, the projection of both with the xy axis and the unit vector that makes the sum 2A + B. 2. Calculate, from vectors A, B, C and D, the following: •...
1) Consider two vectors A=[20, 4, -6] and B=[8, -2, 6]. a) compute their dot product...
1) Consider two vectors A=[20, 4, -6] and B=[8, -2, 6]. a) compute their dot product A.B b) Compute the angle between the two vectors.    c)Find length and sign of component of A over B (mean Comp A over B)and draw its diagram.    d) Compute Vector projection of B over A (means Proj B over A) and draw corresponding diagram. e) Compute Orthogonal projection of A onto B.
Find the angle in degrees between the vectors a = (1,2,2) and b = (3,4,0). Approximate...
Find the angle in degrees between the vectors a = (1,2,2) and b = (3,4,0). Approximate it to the nearest degree. a. 43 b. 23 c. 33 d. 53 e. another answer
Let the vectors a and b be: a = <0,-3,4> and b=<1,2,-2>. Find the following: a)...
Let the vectors a and b be: a = <0,-3,4> and b=<1,2,-2>. Find the following: a) The vector c=2a+b and its length. b) The cosine of the angle between the vector c and the y axis c) One unit vector that is orthogonal to both a and b.
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 =...
True or False A.The dot product of two vectors is always less than the product of...
True or False A.The dot product of two vectors is always less than the product of the lengths of the vectors. B. All linear combinations of the vectors u= (u1,u2) and v= (v1,v2) form the parallelogram whose adjacent sides are u and v. C. If A and B are square matrices of the same size, then the second column of AB can be obtained by multiplying the second column of A to the matrix B. D. The vector that starts...
Let W be the subspace of R4 spanned by the vectors a = 3e1 − 4e2...
Let W be the subspace of R4 spanned by the vectors a = 3e1 − 4e2 and b = e2 + e3 + e4. Find the orthogonal projection of the vector v = [2, 0, 1, 0] onto W. Then calculate the distance of the point v from the subspace W.
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]...
Create vectors x=(1,2,...,10) and y=(2,2^2,...,2^10). Then compute the Euclidean distance and inner product between x and...
Create vectors x=(1,2,...,10) and y=(2,2^2,...,2^10). Then compute the Euclidean distance and inner product between x and y, respectively. ( Use R language and Do Not use "for")
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT