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

# The points O,A,B,C are the vertices of a pyramid and P,Q,R,S are the mid-points of OA,OB,BC,AC respectively. If −−→OA=a,−−→OB=b,−−→OC=c, express in terms of a,b,c the vectors −−→OP,−−→OQ,−−→OR and −−→OS/

A
OP=12a, OQ=12b, OR=12(b+c),OS=12(a+c)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
OP=12c,OQ=b,OR=12(b+c),OS=12(a+c)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
OP=12c,OQ=b,OR=12(a+c),OS=12(b+c)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
OP=12a,OQ=b,OR=12(a+c),OS=12(b+c)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

## The correct option is A −−→OP=12a, −−→OQ=12b, −−→OR=12(b+c),−−→OS=12(a+c)P,Q,R,S are the mid-points of OA,OB,BC,AC→P=→A−→O2=→a2→OP=→P−→O→OP=a2−0→OP=a2→Q=→b2→OQ=→Q−→O→OP=b2−0→OP=b2→R=→b+→c2→OR=→R−→O→OR=b+c2−0→OR=b+c2→S=→a+→c2→OS=→S−→O→OS=a+c2−0→OS=a+c2

Suggest Corrections
0
Join BYJU'S Learning Program
Related Videos