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Statement-I If a=3hat(i)-3hat(j)+hat(k),...

Statement-I If `a=3hat(i)-3hat(j)+hat(k), b=-hat(i)+2hat(j)+hat(k) and c=hat(i)+hat(j)+hat(k) and d=2hat(i)-hat(j)`, then there exist real numbers `alpha, beta, gamma` such that `a=alphab+betac+gammad`
Statement-II a, b, c, d are four vectors in a 3-dimensional space. If b, c, d are non-coplanar, then there exist real numbers `alpha, beta, gamma` such that `a=alphab+betac+gammad.`

A

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

B

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

C

Statement-I is correct but Statement-II is incorrect

D

Statement-II is correct but Statement-I is incorrect

Text Solution

Verified by Experts

The correct Answer is:
B
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