calculas 3,solutions

Hamad Almuhanna math 250 S2014 15553 WeBWorK assignment number Homework 12-4 is due : 02/19/2014 at 09:30am PST. The

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1. (1 pt) Suppose that u, v, and w are arbitrary vectors in three-dimensional-space. For each expression below, enter E if it exists and N if it does not.

(u ·v) ·w

(u×v) ·w

(u ·v)×w

(u×v)×w

2. (1 pt) Let a =< 7,3,5 > and b =< 8,10,10 > be vectors. Compute the cross product a×b.

3. (1 pt) If a = i+ j+1k and b = i+ j+3k

Compute the cross product a×b. i + j + k

4. (1 pt) You are looking down at a map. A vector u with |u| = 8 points north and a vector v with |v| = 8 points northeast. The cross product u×v points: A) south B) northwest C) up D) down

Please enter the letter of the correct answer: The magnitude |u×v| = 5. (1 pt) If a = i + 2j + k and b = i + 4j + k, find the unit

vector with positive first coordinate that is orthogonal to both a and b.

i + j + k 6. (1 pt) Find the area of the parallelogram with vertices

(4,5), (9, 7), (12, 9), and (17, 11).

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