Question

It is given that and $\overline { \mathrm { t } } _ { 2 } = \hat { \mathbf { i } } + 3 \hat { \mathbf { j } } - 2 \hat { \mathrm { k } }$ , and
$\overline { \mathrm { t } } _ { 4 } = 3 \hat { \mathbf { i } } + 2 \hat { \mathrm { j } } - 5 \hat { \mathrm { k } }$ . If , then

• A. p = qr
• B. p = q + r
• C. p = q = r
• D. q =

Answer 1

Answer: (B)

p = q + r

Answer 2

We have

= p() + q() + r()

⇒ 2p + q – 2r = 3,…….. (1)

– p + 3q +r =2,

p – 2q – 3r = –5.

Adding all the equations, we get

2p +2q = 4r i.e. p + q = 2r.

Equation (1) gives p = 3

⇒ q = 1, r = 2

With these values of q, p, r, only (2) is the correct answer