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The vectors from origin to the points A ...

The vectors from origin to the points A and B are `vec(a)=3hat(i)-6hat(j)+2hat(k) and vec(b)= 2hat(i) +hat(j)-2hat(k)` respectively. Find the area of :
(i) the triangle OAB
(ii) the parallelogram formed by `vec(OA) and vec(OB)` as adjacent sides.

A

`(5)/(2)sqrt(17)` sq. unit

B

`(2)/(5)sqrt(17)` sq. unit

C

`(3)/(5)sqrt(17)` sq.unit

D

`(5)/(3)sqrt(17)` sq.unit

Text Solution

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The correct Answer is:
A
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