First slide
Scalars and Vectors
Question

The angle between two vectors given by 6i¯+6j¯3k¯ and 7i¯+4j¯+4k¯ is

Moderate
Solution

If the angle between the vectors is ‘θ ’ then

cosθ=A.B|A|.|B|

cosθ=42+2412(36+36+9)(49+16+16)

cosθ=54(9)(9)=23

sinθ=53

θ=sin1(53)

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