List of top Mathematics Questions on Vectors asked in BCECE

If \(\bar{a}⊥\bar{b}\) and \((\bar{a}+\bar{b})⊥(\bar{a}+m\bar{b})\), then m is

Let A, B, C, D be the points with position vectors \(3\hat{i}-2\hat{j}-\hat{k},2\hat{i}+3\hat{j}-4\hat{k},-\hat{i}+2\hat{j}+2\hat{k}\) and \(4\hat{i}+5\hat{j}+\lambda\hat{k}\) respectively. If the points A, B, C, D lie on a plane, then the value of λ is

Let \(\vec{a}, \vec{b}, \vec{c}\) be three vectors having magnitudes 1, 1 and 2 respectively. If \(\vec{a}\times(\vec{a}\times\vec{c})+\vec{b}=\vec{0}\), then the angle between \(\vec{a}\) and \(\vec{c}\) is