Question

6. Find the vallue of “b”, so that the vector A=2î + bị +k and
B =4i - 2î - 2k. are perpendicular to each other.​

Answer 1

Answer:

b = 3

Explanation:

For two vectors to be perpendicular, then their dot product must be zero.

Therefore,

A • B = 0

(2î+ bj +k) • (4i - 2î - 2k) = 0

(2×4) î•î + (b × -2) j•j + (1 × -2) k•k = 0

8×1 - 2b - 2×1 = 0 [ î•î = j•j = k•k = 1]

Therefore,

6 - 2b = 0

$- 2b = - 6 \\ b = \frac{ - 6}{ - 2} \\ b \: = 3$

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