A) 120
B) 105
C) 75
D) 45
Correct Answer: B
Solution :
We know, if a and b are two adjacent sides of a parallelogram, then Area \[=|\vec{a}\,\times \vec{b}|=15\] (given)...(i) - If the sides are \[(3\,\vec{a}+2\vec{b})\] and \[(\,\vec{a}+3\vec{b}),\] then Area of parallelogram \[=|(3\vec{a}+2\vec{b})\times (\vec{a}+3\vec{b})|\] \[=|7(\vec{a}\times \vec{b})|\] \[=7|\vec{a}\times \vec{b}|\] \[=7\times 15\] (From(i)) \[=105\,sq\] unitYou need to login to perform this action.
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