Find the area of the trinagle whose two adjacent sides are determined by the vectors (i) `vec(a)= -2hat(i)-5 hat(k)`and `vec(b)=hat(i)- 2 hat(j)- hat(k)` (ii) `vec(a)= 3 hat(i)+ 4 hat(j)` and `vec(b)=-5hat(i)+7 hat(j).`

Find the area of the trinagle whose two adjacent sides are determined

1.	Find the area of the trinagle whose two adjacent sides are determined by the vectors (i) `vec(a)= -2hat(i)-5 hat(k)`and `vec(b)=hat(i)- 2 hat(j)- hat(k)` (ii) `vec(a)= 3 hat(i)+ 4 hat(j)` and `vec(b)=-5hat(i)+7 hat(j).`
Answer» Correct Answer - (i) `1/2 sqrt(165)` sq units (ii) `41/2 `sq units Area of a triangle `=1/2\|vec(a) xx vec(b)\| " where "vec(a) and vec(b)` are adjacent sides.

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Find the area of the trinagle whose two adjacent sides are determined by the vectors (i) `vec(a)= -2hat(i)-5 hat(k)`and `vec(b)=hat(i)- 2 hat(j)- hat(k)` (ii) `vec(a)= 3 hat(i)+ 4 hat(j)` and `vec(b)=-5hat(i)+7 hat(j).`

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