Question

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?

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
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.
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.
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...
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...
Show that the equation represents a sphere, and find its center and radius.4x2+ 4y2+ 24x+ 4z2−20y=−57...
Show that the equation represents a sphere, and find its center and radius.4x2+ 4y2+ 24x+ 4z2−20y=−57 + 16z. Find a unit vector that has the same direction as the vector 3a−2b given that a= 2i+k and b=i−j+ 3k. Find a vector b with |b|= 5 such that the angle between the vector a=〈0,2〉and the vector b is π/3.(Hint: cos(π/3) =12).
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...
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]...
The displacement vectors A and B shown in the figure below both have magnitudes of 3.87...
The displacement vectors A and B shown in the figure below both have magnitudes of 3.87 m. The direction of vector A is θ = 27.3°. A graph shows two displacement vectors A and B plotted on an x y plane. Vector A is a straight diagonal line that starts from the zero point and extends into the first quadrant at an angle θ with the horizontal. Vector B starts from the zero point and extends up along the y-axis....
1) For vectors a and b find the projection of a on b. a =< 4,...
1) For vectors a and b find the projection of a on b. a =< 4, −3 >,b =< 3, 2 > 2) Find the area of the parallelogram with adjacent sides a = i + j and b = i + k 3) Find the unit tangent T for the following curve r =< 2 cos t^2 , 2 sin t^2 >
Given the vectors in unit vector notation: A=(-3.0m)i+(4.0m)j B=(4.0m)i+(-7.0m)j Calculate the magnitude and the directional angle...
Given the vectors in unit vector notation: A=(-3.0m)i+(4.0m)j B=(4.0m)i+(-7.0m)j Calculate the magnitude and the directional angle of the resultant of r=a+b with respect to the + x axis.