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Determine the value of a so that A = 2i+aj+k and B = 4i-2j-2k are perpendicular​

Determine the value of a so that A = 2i+aj+k and B = 4i-2j-2k are perpendicular​
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Determine the value of a so that A = 2i+aj+k and B = 4i-2j-2k are perpendicular​

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User Mahdi Younesi
by
8.3k points

1 Answer

2 votes
in order to make them perpendicular, their dot product must result in zero. so:


4 * 2 - 2a - 2 * 1 = 0


2a = 8 - 2 = 6


a = 3
answered
User Eddy Bayonne
by
8.2k points
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