NEET · Physics · STD 11 - 3.1 , vectors
If \(\overrightarrow{ F }=2 \hat{ i }+\hat{ j }-\hat{ k }\) and \(\overrightarrow{ r }=3 \hat{ i }+2 \hat{ j }-2 \hat{ k }\), then the scalar and vector products of \(\overrightarrow{ F }\) and \(\overrightarrow{ r }\) have the magnitudes respectively as
- A \(5, \sqrt{3}\)
- B \(4, \sqrt{5}\)
- C \(10, \sqrt{2}\)
- D \(10,2\)
Answer & Solution
Correct Answer
(C) \(10, \sqrt{2}\)
Step-by-step Solution
Detailed explanation
\(\overrightarrow{ F }=2 \hat{ i }+\hat{ j }-\hat{ k }\) \(\quad \overrightarrow{ r }=3 \hat{ i }+2 \hat{ j }-2 \hat{ k }\) \(\overrightarrow{ F } \cdot \overrightarrow{ r }=6+2+2=10\)
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