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State whether the following statements a...

State whether the following statements are true or false :-
(1) Magnitude of `vecP` can be -5 unit.
(2)`|hatN|=1`
(3) Magnitude of any vector is a scalar.
(4) Unit vectors of a vector cannot be zero.

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The correct Answer is:
To determine whether the given statements are true or false, let's analyze each statement one by one. ### Step 1: Analyze Statement (1) **Statement:** Magnitude of `vecP` can be -5 unit. **Solution:** The magnitude of any vector is always a non-negative quantity. Magnitudes cannot be negative because they represent the length or size of the vector. Therefore, the statement is **False**. ### Step 2: Analyze Statement (2) **Statement:** `|hatN| = 1` **Solution:** A unit vector, denoted as `hatN` (or `n cap`), is defined to have a magnitude of 1. Thus, the statement is **True**. ### Step 3: Analyze Statement (3) **Statement:** Magnitude of any vector is a scalar. **Solution:** The magnitude of a vector is indeed a scalar quantity because it only has size and no direction. Therefore, the statement is **True**. ### Step 4: Analyze Statement (4) **Statement:** Unit vectors of a vector cannot be zero. **Solution:** A unit vector is defined as a vector with a magnitude of 1. Since a unit vector cannot have a magnitude of 0, the statement is **True**. ### Summary of Answers: 1. False 2. True 3. True 4. True
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