Question

Prove that Vector A vector Equal to 2i Cap+3j Cap+4k Cap And B Vector Equal to -3i Cap +2j Cap Are Mutually Perpendicular Each Other ​

Answer 1

Question:-

Prove that Vector A vector Equal to 2i Cap+3j Cap+4k Cap And B Vector Equal to -3i Cap +2j Cap Are Mutually Perpendicular Each Other.

Solution:-

To Prove:- They are mutually perpendicular to each other.

Since, if they are mutually perpendicular then their dot product is zero.

Hence,

Vector A . Vector B =0

=> (2×-3)+(3×2)+(4×0)=0

=> -6+6+0=0

=> 0=0

Since, Dot Product is zero.

Hence, Vector A and Vector B are mutually perpendicular to each other.

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