List of top Mathematics Questions on Vectors asked in IPU CET

It is known that \( AB = 2a - 6b \) and \( AC = 3a + b \), where \( a \) and \( b \) are mutually perpendicular unit vectors. Determine the angles of the AABC.
If \[ a = \gamma \hat{i} + \delta \hat{j} + 2\zeta \hat{k}, \, b = \alpha \hat{i} + \beta \hat{j} + \gamma \hat{k}, \, r \times a = b \times a \, r \times b = a \times b \] then a unit vector in the direction of \( r \) is