The area of the parallenlogram determined by two adjacentt sides as `A – InterviewSolution

InterviewSolution

1.	The area of the parallenlogram determined by two adjacentt sides as `A=2hat(i)+hat(j)-3hat(k)andB=12hat(j)-2hat(k)` is approximatelyA. 43B. 56C. 38D. 74
Answer» Correct Answer - A (a) Area of parallelogram `=\|AxxB\|` `AxxB=\|{:(hat(i),hat(j),hat(k)),(2,1,-3),(0,12,-2):}\|` ` =hat(i)(-2+36)-hat(j)(-4)+hat(k)(24)` `=34hat(i)+4hat(j)+24hat(k)` `\|AxxB\|=sqrt((34)^(2)+(4)^(2)+(24)^(2))` `=418~~43`

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