Question

66. How many minimum numbers of non-zero vectors in
different planes can be added to give zero resultant?
(2) 3
(3) 4
(4) 5
(1) 2​

Answer 1

Answer:

the awnser is 4

Explanation

So let us imagine two vectors A and B. Now they both add up to give 0 when they both have equal magnitude and opposite direction.

But since we're talking about vectors in different planes, then A and B add up to give a resultant,say R which lies in the same plane as A and B. (You may use the parallelogram law or the triangle law.)

Now,R can never be zero, it has a positive magnitude. To get a resultant of zero, we need to take another vector in the opposite direction of R and equal in magnitude, say S.

S can never be in the same plane as A and B which you can imagine easily. So we got the answer i.e. 4.