WBJEE · Mathematics

Vectors

8 practice questions, each with the answer and an explanation.

Practise Vectors now

Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 8 questions

What is the dot product of $a = 2 \hat{i} + 6 \hat{j} + 4 \hat{k}$ and $b = 6 \hat{i} + 2 \hat{j} + 2 \hat{k}$ ?
What is the dot product of $a = 0 \hat{i} + 0 \hat{j} - 4 \hat{k}$ and $b = - 4 \hat{i} + 6 \hat{j} + 5 \hat{k}$ ?
What is the dot product of $a = 3 \hat{i} + 2 \hat{j} + 6 \hat{k}$ and $b = - 3 \hat{i} - 2 \hat{j} - 4 \hat{k}$ ?
What is the dot product of $a = - 2 \hat{i} - 1 \hat{j} + 0 \hat{k}$ and $b = - 2 \hat{i} + 0 \hat{j} - 2 \hat{k}$ ?
What is the dot product of $a = - 3 \hat{i} + 4 \hat{j} - 4 \hat{k}$ and $b = 4 \hat{i} - 1 \hat{j} + 1 \hat{k}$ ?
The point $Q (5, 2, 4)$ is reflected in the straight line $r = (1, 0, - 1) + t (1, 2, 2)$ . The image point is
Find the unit vector perpendicular to both a = 2 i + j + k and b = i - j + 2 k.
What is the angle between the vectors a = 2 i + 2 j - k and b = 6 i - 3 j + 2 k?

Keep practising

More WBJEE topics

All WBJEE practice →

Vectors in other exams

Ready for the full WBJEE test?

Take a mock test WBJEE hub