Q8 of 44 Page 1057

Find a vector of magnitude 5 units, perpendicular to each of the vectors

and, where and




Let be the vector which is perpendicular to then we have,


…where k is a scalar


Thus, we have r is vector of magnitude 5,


So,


We have,



Here,


We


have


⇒


Thus, substituting the values of ,


in equation (i) we get


⇒


⇒


⇒



Here, as r is of magnitude 5 thus,


k = 5,


Thus,


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