If A(3,4,5),B(4,6,3),C(-1,2,4) and D(1,0,5) are such that the angle between `bar(DC)` and `bar(AB)` is `theta` then `cos theta=`

If A-=(3,4-2),B-=(1,-1,2),C-=(0,3,2) and D-=(3,5,6) , then the angle between bar(AB) and bar(CD) is

The angle theta between two non-zero vectors bar(a) and bar(b) is given by cos theta =….

If bar(a),bar(b),bar(c) are three vectors of magnitude sqrt(3),1,2 such that bar(a)xx(bar(a)xxbar(c))+3bar(b)=bar(0) and theta is the angle between bar(a) and bar(c) then cos^(2)theta=

A parallelogram is constructed on 2bar(a)+3bar(b) and 3bar(a)-5bar(b), where ।bar(a)|=4 and |bar(b)|=5. If the angle between bar(a) and bar(b) is (pi)/(3), then the magnitude of the smaller diagonal is

Let bar(a) , bar(b) and bar(c) be non-zero vectors such that (bar(a)timesbar(b))timesbar(c)=(1)/(3)|bar(b)||bar(c)|bar(a) ..If theta is the acute angle between the vectors bar(b) and bar(c) then sin theta=2k then k=

Prove that (tan5 theta+tan3 theta)/(tan5 theta-tan3 theta)=4cos2 theta cos4 theta

If bar(a) is a perpendicular to bar(b) and bar(c), |bar(a)|=2, |bar(b)|=3, |bar(c)|=4 and the angle between bar(b) and bar(c) is (2pi)/(3) then |[bar(a) bar(b) bar(c)]| =

If bar(a) and bar(b) are two non-zero vectors and theta is angle between then,the cos theta is

If bar(a) and bar(b) are two non-zero vectors and theta is angle between then,the cos theta is

(tan5 theta+tan3 theta)/(tan5 theta-tan3 theta)=4cos2 theta cos4 theta