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Introduction

If A⃗ and ...

Question

If $\to A$ and $\to B$ are two vectors, then which of the following is a correct statement?

Multiple answer

\to A + \to B = \to B + \to A

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\to A - \to B = (\to B - \to A)

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\to A \times \to B = - (\to B \times \to A)

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None of these

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Solution

The correct options are
A $\to A + \to B = \to B + \to A$
B $\to A \times \to B = - (\to B \times \to A)$
In vector addition, the commutative law is obeyed i.e
$\to A + \to B = \to B + \to A$
vector subtraction does not follow commutative law
$\to A - \to B = (\to B - \to A)$
Vector product also does not follow commutative law.
$\to A \times \to B = - (\to B \times \to A)$

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If →A and →B are two vectors, then which of the following is a correct statement?Multiple answer

If $\to A$ and $\to B$ are two vectors, then which of the following is a correct statement?

Multiple answer