Assertion (A): Let vec(a) = a_(1) vec(i) + a_(2) vec(j) + a_(3) vec(k). Then identity |vec(a) xx vec(i)|^(2) + |vec(a) xx vec(j)|^(2) + |vec(a) xx vec(k)|^(2) =2|vec(a)|^(2) holds for vec(a). Reason (R ): vec(a) xx vec(i) = a_(3) vec(j)- a_(2) vec(k), vec(a) xx vec(j) = a_(1) vec(k) - a_(3) vec(i), vec(a) xx vec(k)= a_(2) vec(i)- a_(1) vec(j) Which of the following is correct ?

Assertion (A): Let vec(a) = a_(1) vec(i) + a_(2) vec(j) + a_(3) vec(k)

1.	Assertion (A): Let vec(a) = a_(1) vec(i) + a_(2) vec(j) + a_(3) vec(k). Then identity \|vec(a) xx vec(i)\|^(2) + \|vec(a) xx vec(j)\|^(2) + \|vec(a) xx vec(k)\|^(2) =2\|vec(a)\|^(2) holds for vec(a). Reason (R ): vec(a) xx vec(i) = a_(3) vec(j)- a_(2) vec(k), vec(a) xx vec(j) = a_(1) vec(k) - a_(3) vec(i), vec(a) xx vec(k)= a_(2) vec(i)- a_(1) vec(j) Which of the following is correct ?
Answer» Both (A) and (R ) are TRUE and (R ) is the CORRECT EXPLANATION of (A) Both (A) and (R ) are true and (R ) is not the correct explanation of (A) (A) is true, (R ) is FALSE (A) is false, (R ) is true Answer :A