1.

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`.

Answer» `vec A xx vec B = |( hat I , gat j, hat k) ,(3, 5, 0), (-3, +7, 0)|`
`= hat I [0 -0] + hat j [0 -0] + hat k [21 + 15]`
`= +36 hat k`
`Area of parallelogram `=| vec A xx vec B|`
`= sqrt( 0^(2) + 0^(2) + (+36)^(2))`
` =36 sq. unt`.


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