Question

Can two vectors of different magnitude be combined to give a zero resultant?

Answer 1

No, it's not possible, for whatever angle between the 2 vectors, the resultant can't be zero if they're different.

Answer 2

Answer ⇒ No, they can't give zero resultant.

Step-by-step explanation ⇒ By the formula of vector addition,

R² = A² + B² + 2ABCosθ

Now, They can give zero resultant when A = B and angle between both is is zero degree and 180°.

In that case,

R² = (A + B)² OR R² = (A - B)²

When A and B will be equal then case of 180° will give zero resultant.

But there is an condition that both A and B should be equal.

When they will be equal they can give zero resultant.

Hope it helps.