A-level Maths · Vectors

Vector magnitude and angle

Find the exact length of a 3D vector, or the angle between two vectors in degrees.

0 correct out of 0Streak: 0

Question 1

The vector a=i+4j+6k\mathbf{a} = \mathbf{i} + 4\mathbf{j} + 6\mathbf{k}. Find ∣a∣|\mathbf{a}|, giving your answer in exact form.

Read as: what you type appears here

Give an exact answer, with no decimals, using ln, π and roots: for example 2√3, ln 5 / 2, 3π/4 or (ln 7 - 1)/2.

Your progress is kept on this device only. Nothing you type is sent to us.

Stop spending Sunday on Monday's lesson.

Free to start, no card. Your first lesson is about two minutes away.

Start free