PYQ Vault
EbooksTutor

Two vectors perpendicular with a linear condition on the unknowns: find the unknowns

The same question, asked 2 times: 23 Apr 2025 S1*, 16 Apr 2026 S2. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    23 Apr 2025 S1

    46
    If P→=bi^+6j^+k^\overrightarrow{P}=b\widehat{i}+ 6\widehat{j}+\widehat{k} and Q→=i^−aj^+4k^\overrightarrow{Q}=\widehat{i}-a\widehat{j}+ 4\widehat{k} are perpendicular to each other, also 3b−a=53b-a= 5. The value of aa and bb is

    Tap an option to check your answer.

  2. Question 2

    16 Apr 2026 S2

    102
    Vectors ai^+bj^+k^a\hat{i} + b\hat{j} + \hat{k} and 2i^−3j^+4k^2\hat{i} - 3\hat{j} + 4\hat{k} are perpendicular to each other when 3a+2b=73a + 2b = 7, the ratio of a to b is x/2x/2. The value of x is

    Tap an option to check your answer.