Vector Algebra Mock Tests

The angle between the vectors a⃗ = î + ĵ and b⃗ = î − ĵ is:

If a⃗ = 2î − ĵ + k̂ and b⃗ = î + 2ĵ − k̂, then the scalar product a⃗ · b⃗ is:

If a = i + 2j + 3k and b = 2i - j + k, then a x b equals:

The angle between the vectors A = i + j and B = i - j is:

If a = 2i + 3j - k, b = i - j + 2k, and c = 3i + 2j + 3k, then the scalar triple product [a b c] is:

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

If a = (1, 0, 2), b = (0, 1, -1), and c = (1, 1, 1), then the volume of the parallelepiped formed by these vectors as adjacent sides is:

The projection of the vector a = (2, 3, -1) on the vector b = (1, 0, 1) is: