Question
Mathematics Question on Vector space
If F=(x+2y+az)i^+(bx−3y−z)j^+(4x+cy+2z)k^ is irrotational, where a, b and c are constant, then a2 + b2 + c2 is equal to :
A
5
B
7
C
19
D
21
Answer
21
Explanation
Solution
The correct option is(D):21.
If F=(x+2y+az)i^+(bx−3y−z)j^+(4x+cy+2z)k^ is irrotational, where a, b and c are constant, then a2 + b2 + c2 is equal to :
5
7
19
21
21
The correct option is(D):21.