Find ∣∣a−b∣∣,if two vector aand bare such that ∣a∣=2,∣∣b∣∣=3and ab˙=4.
The scalar product of the vector i^+j^+k^with a unit vector along the sum of vector 2i^+4j^−5k^and λi^+2j^+3k^is equal to one. Find the value of λ.
If either a=0or b=0, then a⋅b=0But the converse need not be true. Justify your answer with an example.
Let a,band cbe three vectors such that ∣a∣=3,∣∣b∣∣=4,∣c∣=5and each one of them being perpendicular to the sum of the other two, find ∣∣a+b+c∣∣.