KCET · Physics · Mathematics in Physics
Among the given pair of vectors, the resultant of two vectors can never be 3 units. The vectors are
- A 1 unit and 2 units
- B 2 units and 5 units
- C 3 units and 6 units
- D 4 units and 8 units
Answer & Solution
Correct Answer
(D) 4 units and 8 units
Step-by-step Solution
Detailed explanation
Resultant of two vectors \(\mathbf{A}\) and \(\mathbf{B}\) is related as
\(|\mathbf{A}-\mathbf{B}| \leq R \leq|\mathbf{A}+\mathbf{B}|\)
For option (d),
\(|\mathbf{A}+\mathbf{B}|=4+8=12\) unit
and \(|A-B|=|4-8|=4\) unit
\(|\mathbf{A}-\mathbf{B}| \leq R \leq|\mathbf{A}+\mathbf{B}|\)
For option (d),
\(|\mathbf{A}+\mathbf{B}|=4+8=12\) unit
and \(|A-B|=|4-8|=4\) unit
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