If a = 2i – 3j + k and b = 3i + 4j + xk are mutually perpendicular, find the value of x. a) 2 b) 6 c) 4 d) 7
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Answer:
a]
Explanation:
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Answer b
Use dot product
A vec . B vec = |AB| * cos theta where theta is angle between the vectors
Here it is perpendicular so AB cos90 = 0
2*3 + (-3)*4 + x =0
X=6
Use dot product
A vec . B vec = |AB| * cos theta where theta is angle between the vectors
Here it is perpendicular so AB cos90 = 0
2*3 + (-3)*4 + x =0
X=6
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