Position vectors of a point which divides line joining points `A and B` whose position vectors are `2overset(^)i+overset(^)j-overset(^)k and overset(^)i-overset(^)j+2overset(^)k` externally in the ratio `5:2` is

The position vector of a point R which divides the line joining two points P and Q whose position vectors are overset(^)i+2overset(^)j-overset(^)k and - overset(^)i+overset(^)j-overset(^)k respectively, in the ratio 2:1 externally is

The position vector of a point R which divides the line joining two points P and Q whose position vectors are overset(^)i+2overset(^)j-overset(^)k and - overset(^)i+overset(^)j-overset(^)k respectively, in the ratio 2:1 externally is

If the vectors overset(^)i+2overset(^)k,overset(^)j+overset(^)k and lambda overset(^)i+mu overset(^)j collinear, then

If the vectors overset(^)i+2overset(^)k,overset(^)j+overset(^)k and lambda overset(^)i+mu overset(^)j collinear, then

The points with position vectors 20overset(^)i+poverset(^)j,5overset(^)i-overset(^)j and 10overset(^)i-13overset(^)j are collinear. The value of p is

If the vectors alphaoverset^i+3overset^j+overset^k and 2overset^i+overset^j+overset^k are perpendicular, what is alpha

The projection of the vector 2overset(^)(i)+overset(^)(j)-3overset(^)(k) on the vector overset(^)(i)-2overset(^)(j)+overset(^)k is...

Find the angle between the vectors overset^^i-2overset^^j+3overset^^k"and"3overset^^i-2overset^^j+overset^^k.

If the vectors overset^i+2overset^j+overset^k and 2overset^i+3overset^j+alphaoverset^k are perpendicular, then what is alpha ?

If three points A,B,C are collinear, whose position vectors are overset(^)i-2overset(^)j-8overset(^)k,5overset(^)i-2overset(^)k and 11overset(^)i+3overset(^)j+7overset(^)k respectively, then the ratio in which B divides AC is