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

Magnitudes of vectors a,b,c are 3,4,5 respectively. If a and b+c, b and c+a, c and a+b are mutually perpendicular, then the magnitude of a+b+c is,

A
42
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
32
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
52
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
33
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C 52
a(b+c)=0ab+ac=0

Similarly, bc+ba=0

ca+cb=0

Adding these 2(ab+bc+ca)=0

Now |a+b+c|2=|a|2+|b|2+|c|2+2(ab+bc+ca)

=9+16+25=50

|a+b+c|=52

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