Choose the wrong statement.

Options

A. a. Three vector of different magnitudes may be combined to give zero resultant.
B. b. Two vectors of different magnitudes can be combined to give a zero resultant.
C. c. The product of a scalar and a vector is a vector quantity.
D. d. All of the above are wrong statements.

Explanation

To solve the question "Choose the wrong statement," we will analyze each of the given statements one by one.

### Step 1: Analyze Statement A
**Statement A:** "Three vectors of different magnitudes may be combined to give a zero resultant."

- **Explanation:** This statement is true. It is possible for three vectors of different magnitudes to combine in such a way that their vector sum equals zero. For example, if two vectors are equal in magnitude but opposite in direction, and the third vector is equal to the resultant of these two vectors in the opposite direction, the sum will be zero.

### Step 2: Analyze Statement B
**Statement B:** "Two vectors of different magnitudes can be combined to give a zero resultant."

- **Explanation:** This statement is false. Two vectors of different magnitudes cannot combine to give a zero resultant unless they are equal in magnitude and opposite in direction. If the magnitudes are different, the resultant will not be zero. Thus, this statement is incorrect.

### Step 3: Analyze Statement C
**Statement C:** "The product of a scalar and a vector is a vector quantity."

- **Explanation:** This statement is true. When a scalar (a real number) is multiplied by a vector, the result is indeed a vector. The direction of the vector remains the same, but its magnitude is scaled by the scalar. For example, if you multiply a vector by a scalar greater than one, the magnitude increases, but the direction remains unchanged.

### Conclusion
After analyzing all three statements, we find that:
- Statement A is correct.
- Statement B is incorrect (this is the wrong statement).
- Statement C is correct.

Thus, the wrong statement is **Statement B**.

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