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If a=hat(i)+hat(j)-hat(k), b=2hat(i)+hat...

If `a=hat(i)+hat(j)-hat(k), b=2hat(i)+hat(j)-3hat(k) and r` is a vector satisfying `2r+rtimesa=b`.
Statement-I r can be expressed in terms of a, b and `axxb`.
Statement-II `r=(1)/(7)(7hat(i)+5hat(j)-9hat(k)+atimesb)`.

A

(a)Both Statement-I and Statement-II are correct and Statement-II is the correct explanation of Statement-I

B

(b)Both Statement-I and Statement-II are correct but Statement-II is not the correct explanation of Statement-I

C

(c)Statement-I is correct but Statement-II is incorrect

D

(d)Statement-II is correct but Statement-I is incorrect

Text Solution

Verified by Experts

The correct Answer is:
A
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