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CBSE Class 12 Math 2019 All India Set 1 Solved Paper

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Question : 22 of 29
Marks: +1, -0
Let a,b\overset{\rightarrow}{a}, \overset{\rightarrow}{b} and c\overset{\rightarrow}{c} be three vectors such that a=1,b=2\left|\overset{\rightarrow}{a}\right|=1,\left|\overset{\rightarrow}{b}\right|=2 and c=3\left|\overset{\rightarrow}{c}\right|=3. If the projection of b\overset{\rightarrow}{b} along a\overset{\rightarrow}{a} is equal to the projection of c\overset{\rightarrow}{c} along a\overset{\rightarrow}{a}; and b,c\overset{\rightarrow}{b}, \overset{\rightarrow}{c} are perpendicular to each other, then find 3a2b+2c\left|3 \overset{\rightarrow}{a}-2 \overset{\rightarrow}{b}+2 \overset{\rightarrow}{c}\right|
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