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

In terms of unit vectors i, j and k, a=2,−1,1;b=1,3,−2;c=−2,1,−3 and d=3,2,5. Determine the scalars x, y, z such that d=xa+yb+zc.

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

The correct option is D x=2,y=1,z=3
Substitute the values and equate the coefficients i,j,k on both sides.
Thus we have the following equations:
2x+y2z=3,x+3y+z=2,x2y3z=5
Sloving these, we get x=2,y=1,z=3

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
The Work Done as a Dot-Product
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon