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CBSE Class 12 Math 2023 All Sets Solved Paper

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Question : 5 of 20
Marks: +1, -0
If in △ABC,BA→=2a→\triangle ABC, \overset{\rightarrow}{BA}= 2\overset{\rightarrow}{a} and BC→=3b→,\overset{\rightarrow}{BC}= 3\overset{\rightarrow}{b}, then AC→\overset{\rightarrow}{AC} is
Solution:  
By triangle law of addition,
BA→+AC→=BC→\overset{\rightarrow}{BA}+\overset{\rightarrow}{AC}=\overset{\rightarrow}{BC}
⇒AC→=BC→−BA→\Rightarrow \overset{\rightarrow}{AC}=\overset{\rightarrow}{BC}-\overset{\rightarrow}{BA}
=3b→−2a→=3\overset{\rightarrow}{b}- 2\overset{\rightarrow}{a}
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