Question

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.

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
Let A be a 2x2 matrix 6 -3 -4 2 first, find all vectors V so...
Let A be a 2x2 matrix 6 -3 -4 2 first, find all vectors V so the distance between AV and the unit basis vector e_1 is minimized, call this set of all vectors L. Second, find the unique vector V0 in L such that V0 is orthogonal to the kernel of A. Question: What is the x-coordinate of the vector V0 equal to. ?/? (the answer is a fraction which the sum of numerator and denominator is 71)
PLEASE SHOW WORK FOR ALL :) 1) Given the vectors a = <17,-5,6>, b = <1,0,4>,...
PLEASE SHOW WORK FOR ALL :) 1) Given the vectors a = <17,-5,6>, b = <1,0,4>, and c = <2,1,5> find the following: a) 3a+2b b) |5b-c| c) a unit vector in the direction of 2b 2) given the vectors r = <3,3,-4>, w = <9,0,6> and q = <-4,1,10> find the following: a) the angle, in rads, between r and w b) the vector projection of w onto q c) are r and q orthogonal?
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.
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.
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]...
Let u = ⟨1,3⟩ and v = ⟨4,1⟩. (a) Find an exact expression and a numerical...
Let u = ⟨1,3⟩ and v = ⟨4,1⟩. (a) Find an exact expression and a numerical approximation for the angle between u and v. (b) Find both the projection of u onto v and the vector component of u orthogonal to v. (c) Sketch u, v, and the two vectors you found in part (b).
Find two unit vectors orthogonal to both 2, 4, 1 and −1, 1, 0 .
Find two unit vectors orthogonal to both 2, 4, 1 and −1, 1, 0 .
Determine the resultant of adding the following three vectors. R = A + B + C...
Determine the resultant of adding the following three vectors. R = A + B + C A = 5.00 cm, 30 degrees northeast            B = 8.00 cm, 45 degrees southeast            C = 10.00 cm, 60 degrees southwest (a) Use graph paper and carefully sketch the vectors tip to tail. Draw and measure the resultant vector with the ruler and protractor. Label all vectors. Include both magnitude (length) and direction (angle). Do not calculate the answers! (b) Find the x...
Consider the two vectors, A and B, for which the length and angle are given below....
Consider the two vectors, A and B, for which the length and angle are given below. What would be the x and y components of the the vector sum C = A + B? length of A = 3.606, angle A makes with respect to x-axis = 236.31 degrees length of B = 4.243, angle C makes with respect to x-axis = 45.000 degrees Cx= Cy=
-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.