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

Find the value of λ for which the four points with position vectors 6^i7^j,16^i19^j4^k,λ^j6^k and 2^i5^j+10^k are coplanar.

Open in App
Solution

Let A=6i7j,B=1619j4k=0,C=λj6k and D=2i5j+10k
AB=10i12j4kAC=6i+(λ+7)j6kAD=4i+2j+10k
Now the vectors are coplanar
AB.(AC×AD)=0∣ ∣101246λ+764210∣ ∣=010(10λ+70+12)+12(6024)4(12+4λ+28)=0100λ+82010086416λ=084λ=252λ=3

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon