science
Grade-11
Easy
Question
Two vectors, 2i ^+3j^+8k^ and 4i^−4j^+αk^, are orthogonal. Find the value of α?
- 1
- -1
- ½
- -1/2
Hint:
1/2
The correct answer is: ½
Since the vectors are orthogonal A.B = 0
A = 2i + 3j + 8k; B = 4i - 4j + ak
( 2i + 3j + 8k )( 4i - 4j + ak )
8 - 12 + 8a = 0
8a = 4
a = 1/2
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