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