" If "|bar(a)+bar(b)|=|bar(a)-bar(b)|" then find the angle between "bar(a)" and "bar(b)?

If |bar(a).bar(b)| = |bar(a) xx bar(b)| & bar(a). bar(b) lt 0 , then find the angle between bar(a) and bar(b) .

If |bar(a).bar(b)|=3 and |bar(a)xx bar(b)|=4 then the angle between bar(a) and bar(b) is ………………

If bar(a) and bar(b) be non collinear vectors such that |bar(a)times bar(b)|=bar(a).bar(b) then the angle between bar(a) and bar(b) is

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) = 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))

If bar(a) and bar(b) are unit vectors such that [bar(a),bar(b),bar(a)xxbar(b)] is 1/4, then angle between bar(a) and bar(b) is