JEE Mains · Maths · STD 12 - 10. vector algebra
Let the vectors \(\overrightarrow{ a }, \overrightarrow{ b }, \overrightarrow{ c }\) be such that \(|\overrightarrow{ a }|=2,|\overrightarrow{ b }|=4\) and \(|\overrightarrow{ c }|=4 .\) If the projection of \(\overrightarrow{ b }\) on \(\overrightarrow{ a }\) is equal to the projection of \(\overrightarrow{ c }\) on \(\overrightarrow{ a }\) and \(\overrightarrow{ b }\) is perpendicular to \(\overrightarrow{ c },\) then the value of \(|\overrightarrow{ a }+\overrightarrow{ b }-\overrightarrow{ c }|\) is
- A \(6\)
- B \(12\)
- C \(36\)
- D \(30\)
Answer & Solution
Correct Answer
(A) \(6\)
Step-by-step Solution
Detailed explanation
Projection of \(\overrightarrow{ b }\) on \(\overrightarrow{ a }=\) projection of \(\overrightarrow{ c }\) on \(\overrightarrow{ a }\)…
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