List of top Mathematics Questions on Vector Algebra asked in BITSAT

What is the dot product of the vectors \( \mathbf{a} = (2, 3, 1) \) and \( \mathbf{b} = (1, -1, 4) \)?
Find the angle between the vectors \( \mathbf{a} = (2, 3, 1) \) and \( \mathbf{b} = (1, -1, 4) \).
Find the angle between the vectors \( \mathbf{a} = (2, -1, 3) \) and \( \mathbf{b} = (1, 4, -2) \).
Area of the triangle formed by the line x+y=3 and angle bisectors of the pair of straight lines x²-y²+2y=1 is
If the line (x-4)/(1)=(y-2)/(1)=(z-k)/(2) lies in the plane 2x-4y+z=7, then the value of k is
A line segment has length 63 and direction ratios are 3,-2,6. If the line makes an obtuse angle with x-axis, the components of the line vector are