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If a=hat(i)+hat(j)+hat(k) and b=hat(i)-h...

If `a=hat(i)+hat(j)+hat(k) and b=hat(i)-hat(j)`, then the vectors `(a*hat(i))hat(i)+(a*hat(j))hat(j)+(a*hat(k))hat(k), (b*hat(i))hat(i)+(b*hat(j))hat(j)+(b*hat(k))hat(k) and hat(i)+hat(j)-2hat(k)`

A

are mutually perpendicular

B

are coplanar

C

form a parallepiped of volume 3 units

D

form a parallelopiped of volume 6 units

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The correct Answer is:
A, D
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ARIHANT MATHS-PRODUCT OF VECTORS-Exercise (More Than One Correct Option Type Questions)
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