If |bar(a) xx bar(b)|= bar(a).bar(b) , then find the angle between the vectors bar(a) and bar(b) .
If bar(a) , bar(b) are non-zero vectors such that |bar(a)+bar(b)|^2 = |bar(a)|^(2)+ |bar(b)|^(2) , then find the angle between bar(a) , bar(b) .
if bar(a) + bar(b) + bar(c ) = bar(0), |bar(a)| = 3, |bar(b)| = 5, |bar(c )| = 7 then find angle between bar(a) , bar(b) .
If bar(a) = 2bar(i) + 2bar(j) - 3bar(k), bar(b) = 3bar(i) - bar(j) + 2bar(k) then find the angle between 2bar(a)+bar(b) and bar(a) + 2bar(b) .
Let bar(a), bar(b), bar(c ) be unit vectors, suppose that bar(a). bar(b) = bar(a). bar(c )= 0 and the angle between bar(b) and bar(c ) is pi//6 then show that bar(a)= +-2 (bar(b) xx bar( c))
Ig |bar(a)| = 11 ,|bar(b)| = 23,|bar(a)-bar(b)| = 30 then find the angle between the vectors bar(a),bar(b) and also find |bar(a)+bar(b)| .
If bar(a) = 6bar(i) + 2bar(j) + 3bar(k) and bar(b) = 2bar(i) - 9bar(j) + 6bar(k) , then find bar(a).bar(b) amd the angle between bar(a) and bar(b) .
Let bar(a) = 2bar(i)-bar(j)+bar(k), bar(b) = 3bar(i) + 4bar(j) -bar(k) and if theta is the angle between bar(a), bar(b) then find sin theta .
If |bar(a)| = 13, |bar(b)| = 5, and bar(a).bar(b) = 60 , then find |bar(a) xx bar(b)| .
If |bar(a)|=2, |bar(b)|=3, (bar(a), bar(b))= pi//6 , then find (bar(a) xx bar(b))^(2)
VGS PUBLICATION-BRILLIANT-TS MARCH- 2018-SECTION C