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The sum of three vectors shown in Fig. 2...

The sum of three vectors shown in Fig. 2 ( c) . 77. is zero .
.
(a) What is the magnitude of the vector ` vec (OB) `?
(b) What is the magnitude of the vector ` vec (OC)` ?

Text Solution

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Dot product of two mutually perpendicular vectors is zero `vec(A).vec(B)=0`
`:. (4hat(i)+nhat(j)-2hat(k)).(2hat(i)+3hat(j)+hat(k))=0rArr(4xx2)+(nxx3)+(-2xx1)=0rArr3n=-6 rArr n=-2`
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