Vector Algebra Mock Tests

If a⃗ = î + 2ĵ + 3k̂ and b⃗ = 2î − ĵ + k̂, then a⃗ ⋅ b⃗ is:

The dot product of vectors a = 2i + j - k and b = i - 3j + 2k is:

If the vectors i + j + λk and 2i − 2j + k are perpendicular, then λ equals:

A unit vector perpendicular to both a = (1, 1, 0) and b = (0, 1, 1) is:

If a⃗ = 2î − ĵ + 3k̂ and b⃗ = î + 2ĵ − k̂, find a⃗ · b⃗.

If vector a = 2i + j − k and vector b = i − 3j + 2k, then a dot b equals:

If a = 2i - j + k, then a unit vector in the direction of a is:

The volume of the parallelepiped formed by vectors a = (1, 1, -1), b = (1, -1, 1), and c = (-1, 1, 1) is: