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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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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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