CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
15
You visited us 15 times! Enjoying our articles? Unlock Full Access!
Question

If l21+m21+n21=1,etc and l1l2+m1m2+n1n2=0 and
Δ=∣ ∣l1m1n1l2m2n2l3m3n3∣ ∣ then

A
|Δ|=3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
|Δ|=2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
|Δ|=1
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
|Δ|=0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C |Δ|=1
We have
Δ2=ΔΔ=∣ ∣l1m1n1l2m2n2l3m3n3∣ ∣∣ ∣l1m1n1l2m2n2l3m3n3∣ ∣
Δ2=ΔΔ=∣ ∣ ∣l21+m21+n21l1l2+m1m2+n1n2l1l3+m1m3+n1n3l1l2+m1m2+n1n2l22+m22+n22l2l3+m2m3+n2n3l1l3+m1m3+n1n3l2l3+m2m3+n2n3l23+m23+n23∣ ∣ ∣
=∣ ∣100010001∣ ∣=1Δ=±1|Δ|=1

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