(a) If A S ~ B S = 0, does it necessarily follow that A =

Chapter 1, Problem Q1.25

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QUESTION:

(a) If A S ~ B S = 0, does it necessarily follow that A = 0 or B = 0? Explain. (b) If A S : B S = 0, does it necessarily follow that A = 0 or B = 0? Explain.

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QUESTION:

(a) If A S ~ B S = 0, does it necessarily follow that A = 0 or B = 0? Explain. (b) If A S : B S = 0, does it necessarily follow that A = 0 or B = 0? Explain.

ANSWER:

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The quantity which has both magnitude with unit and direction is known as vectors. The dot product of two vectors always gives a scalar quantity and the cross product of two vectors always gives a vector quantity.

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