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Question : 29 of 160
Marks:
+1,
-0
Solution:
PS‌‌=(4−3)+(5+2)+(λ+1) ‌‌=+7+(λ+1) And
PQ=−+5−3 And
PR=−4+3+3 Now
PQ×PR‌‌=|| ‌‌=(15+9)−(−3−12)+(−3+20) ‌‌=24+15+17 since
P,Q,R,S are coplanar so
PS⋅(PQ×PR)=0 [+7+(λ+1)]⋅[24+15+17]=0 24+105+17(λ+1)‌‌=0 129+17λ+17‌‌=0 λ‌‌=−‌
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