Question

Write down the magnitude of each of the following vectors:

(i) vector a = i + 2j + 5k

(ii) vector b = 5i - 4j - 3k

(iii) vector c = (i/√3 - j/√3 + k/√3)

(iv) vector d = (√2i + √3j - √5k)

Answer 1

We know that for any vector

The magnitude can be written as

(i) It is given that

(ii) It is given that

(iii) It is given that

So we get

= 1 unit

(iv) It is given that