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The position vectors of the points Pa...

The position vectors of the points `Pa n dQ` with respect to the origin `O` are ` vec a= hat i+3 hat j-2 hat k` and ` vec b=3 hat i- hat j-2 hat k ,` respectively. If `M` is a point on `P Q ,` such that `O M` is the beisector of `P O Q ,` then ` vec O M` is a. `2( hat i- hat j+ hat k)` b. `2 hat i+ hat j-2 hat k` c. `2(- hat i+ hat j- hat k)` d. `2( hat i+ hat j+ hat k)`

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The position vectors of the points Pa n dQ with respect to the origin O are vec a= hat i+3 hat j-2 hat k and vec b=3 hat i- hat j-2 hat k , respectively. If M is a point on P Q , such that O M is the bisector of angleP O Q , then vec O M is a. 2( hat i- hat j+ hat k) b. 2 hat i+ hat j-2 hat k c. 2(- hat i+ hat j- hat k) d. 2( hat i+ hat j+ hat k)

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Find the projection of the vector vec a=2 hat i+3 hat j+2 hat k on the vector vec b=2 hat i+2 hat j+ hat k .

Find the angle between the vectors vec a= hat i+hat j-hat k and vec b=hat i-hat j+hat k

Find vec adot vec b when: vec a= hat i-2 hat j+ hat k\ a n d\ vec b=4 hat i-4 hat j+7 hat k

Find the unit vector in the direction of the sum of the vectors, vec a=2 hat i+2 hat j-5 hat k and vec b=2 hat i+ hat j+3 hat k .

If vec a=3 hat i- hat j-4 hat k , vec b=2 hat i+4 hat j-3 hat k and vec c= hat i+2 hat j- hat k , find |3 vec a-2 hat b+4 hat c|dot

Find the projection of vec b+ vec c on vec a , where vec a = 2 hat i-2 hat j+ hat k , vec b = hat i+2 hat j-2 hat k and vec c=2 hat i- hat j+4 hat k .

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