PYQ Vault

Magnitude of the projection of a vector on the normal to the plane of i + j + k and i + 2j + 3k

The same question, asked 2 times: May 2022 S1*, 9 May 2024 S2. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    May 2022 S1

    121
    The magnitude of the projection of the vector 2i^+3j^+k^2\hat{i}+3\hat{j}+\hat{k} on the vector perpendicular to the plane containing the vectors i^+j^+k^\hat{i}+\hat{j}+\hat{k} and i^+2j^+3k^\hat{i}+2\hat{j}+3\hat{k} is

    Tap an option to check your answer.

  2. Question 2

    9 May 2024 S2

    120
    The magnitude of the projection of the vector 2i^+j^+k^2\hat{i}+\hat{j}+\hat{k} on the vector perpendicular to the plane containing the vectors i^+j^+k^\hat{i}+\hat{j}+\hat{k} and i^+2j^+3k^\hat{i}+2\hat{j}+3\hat{k} is

    Tap an option to check your answer.