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MathsJEE Main 5 Apr 2026, Shift 2·Q16·MCQ·Easy–moderate

Vectors · Position vectors of points

Let OO be the origin, OP→=a⃗\overrightarrow{OP} = \vec a and OQ→=b⃗\overrightarrow{OQ} = \vec b. If RR is the point on OP→\overrightarrow{OP} such that OP→=5OR→\overrightarrow{OP} = 5\overrightarrow{OR}, and MM is the point such that OQ→=5RM→\overrightarrow{OQ} = 5\overrightarrow{RM}, then PM→\overrightarrow{PM} is equal to:
  1. (1)15(a⃗−4b⃗)\dfrac15\left(\vec a - 4\vec b\right)
  2. (2)15(b⃗−4a⃗)\dfrac15\left(\vec b - 4\vec a\right)
  3. (3)15(−a⃗+4b⃗)\dfrac15\left(-\vec a + 4\vec b\right)
  4. (4)15(−b⃗+4a⃗)\dfrac15\left(-\vec b + 4\vec a\right)

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