A) \[\sqrt{14}\]
B) \[\sqrt{7}\]
C) \[2\]
D) 14
Correct Answer: A
Solution :
Given, \[|u|=1,|v|=2|w|=3\] \[\therefore \] \[\frac{v.u}{|v|}=\frac{w.u}{|u|}\] \[\Rightarrow \] \[v.u=w.u\]and\[u.w=0\] Now, \[|u-v+w{{|}^{2}}={{u}^{2}}+{{v}^{2}}+{{w}^{2}}-2u.v\] \[+2u.w-2v.w\] \[=1+4+9-2\text{ }v.w=\text{ }14-0=14\] \[\therefore \] \[|u-v+w|=\sqrt{14}\]You need to login to perform this action.
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