calculas 3,solutions

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Hamad Almuhanna math 250 S2014 15553 WeBWorK assignment number Homework 12-3 is due : 02/19/2014 at 09:30am PST. The

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1. (1 pt) If a =< 8,−7,−10 > and b =< 2,−5,−8 >, find a · b = . 2. (1 pt) What is the angle in radians between the vectors

a =< −7, 5, 1 > and b =< −5, 8,−10 >?

Angle: (radians)

3. (1 pt) What is the angle in radians between the vectors -1i + 8j + 1k and -9i + 2j + 5k?

Angle: (radians)

4. (1 pt) Let a =< −6,−6,−5 > and b =< 2, 4, 10 > be vectors. Find

the scalar and vector projections of b onto a. Scalar Projection:

Vector Projection:

5. (1 pt) An object moves along a straight line from point (-7, -6,

4) to point (1, 9, 5) under the influence of a constant force F = 4i + 3j − 7k.

Find the work done by this force if the distance is measured in meters and the magnitude of the force is measured in newtons. (If the work is negative, then the force was actually hindering the motion.)

Work: Nm 6. (1 pt) A woman exerts a horizontal force of 8 pounds on a box as

she pushes it up a ramp that is 10 feet long and inclined at an angle of 30 degrees above the horizontal.

Find the work done on the box. Work: ft-lb