wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If a=i-k,b=xi+j+(1-x)kand c=yi+xj+(1+x-y)k. Then, [abc] depends on:


A

neither x nor y

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B

both x and y

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

only x

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

only y

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A

neither x nor y


Explanation for the correct option:

Given, a=i-k,b=xi+j+(1-x)kand c=yi+xj+(1+x-y)k.

abc=10-1x11-xyx1+x-y

Apply C3C3+C1, we get

=100x11yx1+x=11+x=1

abc neither depends on x nor y

Hence, Option ‘A’ is Correct.


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