PYQ Vault
EbooksTutor

Collinearity of three points from their position vectors

This type of question, asked 2 times: 15 May 2023 S2, 14 May 2026 S2. All 2 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    15 May 2023 S2

    125
    If the points P,QP, Q and RR are with the position vectors i^−2j^+3k^, −2i^+3j^+2k^\hat{i}-2\hat{j}+3\hat{k},\,-2\hat{i}+3\hat{j}+2\hat{k} and −8i^+13j^-8\hat{i}+13\hat{j} respectively, then these points are

    Tap an option to check your answer.

  2. Question 2

    14 May 2026 S2

    97
    If the points A(1,p,1),B(2,5,−1),C(q,11,r)A(1, p, 1), B(2, 5, -1), C(q, 11, r) are collinear. If the line passing through these points is perpendicular to the vector 4i^−2j^+k^4\hat{i} - 2\hat{j} + \hat{k}, then the value of p+q+rp + q + r is

    Tap an option to check your answer.