Question

Choose the correct answer if the value of ˆi.(ˆj׈k)+ˆj.(ˆi׈k)+ˆk.(ˆi׈j) is

Answer 1

Answer:

Step-by-step explanation:

Answer 2

ˆi.(ˆj × ˆk) + ˆj.(ˆi × ˆk) + ˆk.(ˆi × ˆj) = 1.

Step-by-step explanation:

We have,

ˆi.(ˆj × ˆk) + ˆj.(ˆi × ˆk) + ˆk.(ˆi × ˆj)

To find, the value of ˆi.(ˆj × ˆk) + ˆj.(ˆi × ˆk) + ˆk.(ˆi × ˆj) = ?

∴ ˆi.(ˆj × ˆk) + ˆj.(ˆi × ˆk) + ˆk.(ˆi × ˆj)

= ˆi.(ˆi ) + ˆj.(- ˆj ) + ˆk.(ˆk)

[ ∵ j × ˆk = ˆi , ˆi × ˆk = - ˆj and ˆi × ˆj = ˆk]

= 1 - 1 + 1

[ ∵ ˆi.ˆi = 1,  ˆj.ˆj = 1 and ˆk.ˆk = 1]

= 2 - 1

= 1

Hence, ˆi.(ˆj × ˆk) + ˆj.(ˆi × ˆk) + ˆk.(ˆi × ˆj) = 1.