1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# →a=−2^i+^j+^k,→b=^i+5^jand→c=4^i+4^j+2^k the projection of the vector 3→a−2→b on the vector →c is

A
11
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
-11
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
13
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
none of these
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

## The correct option is D none of theseGiven vectors, →a=−2→i+→j+→k→b=→i+5→j→c=4→i+4→j+2→k⇒3→a−2→b=3(−2→i+→j+→k)−2(→i+5→j)=−6→i+3→j+3→k−2→i−10→j=−8→i−7→j+3k⇒ Now unit vector along →c will be given as ^c=→c|→c|=4^i+4^j+2^k√42+42+22 46^i+46^j+26^k=(3→a−2→b)^.c(−8^i−7^j+3^k).(46^i+46^j+26^k)=−8×46−7×46+3×26=−326−286+66=−163−143+1=−16−14+33=−273=−9Ans is (D) None of these

Suggest Corrections
0
Join BYJU'S Learning Program
Related Videos
Measuring Correlation
STATISTICS
Watch in App
Join BYJU'S Learning Program