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QJEEM19Ma5881: JEE Main 2019 Physics - Class 11 JEEM19Ma5881 Solution: The distance of the point having position vector from the…

The distance of the point having position vector −i^+2j^+6k^- \widehat i + 2\widehat j + 6\widehat k from the straight line passing through the point (2, 3, – 4) and parallel to the vector, 6i^+3j^−4k^6\widehat i + 3\widehat j - 4\widehat k is :

Multiple Choice Options

  • A 6
  • B 7
  • C 2132\sqrt {13}
  • D 434\sqrt 3

Step-by-Step Verified Solution

JEE Main 2019 (Online) 10th April Evening Slot Mathematics - Vector Algebra Question 184 English Explanation
AD=∣AP→.n→∣n→∣∣=61AD = \left| {{{\overrightarrow {AP} .\overrightarrow n } \over {\left| {\overrightarrow n } \right|}}} \right| = \sqrt {61}

⇒PD=AP2−AD2\Rightarrow PD = \sqrt {A{P^2} - A{D^2}}

=110−61= \sqrt {110 - 61}

= 7

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