Vectors Flashcards

1
Q

Two forces PQ and PR of magnitude 5.0 kilograms and 8.0 kilograms respectively, act at a point P. The direction of PQ is N 20° E, and the direction of PR is N 65° E. Approximate the magnitude and direction of the resultant PS.

A

12.10 kg, N 48° E

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2
Q

Find 2A if A = 2i - 4j - 5k.

A

4i - 8j -10k

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3
Q

The magnitude and direction of a constant force are given by a = 2i + 5j. Find the work done if the point of application of the force moves from the origin to the point P( 4, 1 ).

A

W = 13 ft lb

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4
Q

Find the angle between the vectors 3i + 2j + 5k and -4i + j + 6k.

A

θ = 63.53°

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5
Q

Find the value of b if the vectors A = 2i + bj + 2k and B = 3i + 2j + k are perpendicular.

A

b = -4

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6
Q

Find the area of a parallelogram with two sides identified by vectors from the origin to the points ( 3, 4 ) and ( 8, 0 ).

A

32

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7
Q

Find the value of c if the vectors A = 2i - j + ck and B = 4i - 2j + 6k are parallel.

A

3

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