calculas 3,solutions

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Hamad Almuhanna math 250 S2014 15553 WeBWorK assignment number Homework 12-2 is due : 02/19/2014 at 09:30am PST. The

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1. (1 pt) Find the displacement vector v with initial point A=(2,4,10)

and terminal point B=(8,5,-10). v= 2. (1 pt) Let a =< 1, 5,−5 > and b =< −3, 1,−4 > be vectors. Com-

pute the following vectors. A. a + b = < , , > B. 7a = < , , > C. a − b = < , , > D. |a| = 3. (1 pt) Let a = 5i + 5j + 3k and b = -6i + 6j + 5k be vectors.

Compute the following vectors. A. a + 2b = i + j + k B. a - 3b = i + j + k C. ||−4a|| = 4. (1 pt) Find the unit vector in the same direction as a =<

8,−4,−1 >.

< , , >

Find the vector of length 3 in the same direction as a =< 8,−4,−1 >.

< , , >

5. (1 pt) Find the unit vector in the opposite direction of a = -3i + 4j + 10k.

Answer: i + j + k Find the vector of length 2 in the opposite direction of a = -3i

+ 4j + 10k. Answer: i + j + k

6. (1 pt) Suppose that we have a parallelogram with vertices A = (-

2,-1,-8), B = (-5,-4,-7), and C = (-2,3,-6), where B and C are opposite each other. Find the fourth vertex D opposite vertex A.

D =