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Calculate the area of a paralleleogram w...

Calculate the area of a paralleleogram whose two adjacent sides are formed by the vectors
` vec A =3 hat I + 5 hat j and vec B =- 3 hat I + 7 hat j`.

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Calculate the area of the parallelogram when adjacent sides are given by the vectors vec(A)=hat(i)+2hat(j)+3hat(k) and vec(B)=2hat(i)-3hat(j)+hat(k) .

Find the area of the parallelogram whose adjacent sides are represented by the vectors (i) vec(a)=hat(i) + 2 hat(j)+ 3 hat(k) and vec(b)=-3 hat(i)- 2 hat(j) + hat(k) (ii) vec(a)=(3 hat(i)+hat(j) + 4 hat(k)) and vec(b)= ( hat(i)- hat(j) + hat(k)) (iii) vec(a) = 2 hat(i)+ hat(j) +3 hat(k) and vec(b)= hat(i)-hat(j) (iv) vec(b)= 2 hat(i) and vec(b) = 3 hat(j).

Find the area of the triangle whose adjacent sides are determined by the vectors vec(a)=(-2 hat(i)-5 hat(k)) and vec(b)= ( hat(i)- 2 hat(j) - hat(k)) .

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).

SL ARORA-Motion in a Plane-Excercise
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