PYQ Vault
EbooksTutor

a = i - 2j + 3k, b = 2i + 3j - k: angle between two combinations of a and b

The same question, asked 2 times: 4 May 2023 S2*, 16 May 2023 S2. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    4 May 2023 S2

    103
    If a⃗=i^−2j^+3k^\vec{a} = \hat{i}-2\hat{j}+3\hat{k} and b⃗=2i^+3j^−k^\vec{b} = 2\hat{i}+3\hat{j}-\hat{k}, then the angle between the vectors (2a⃗+b⃗)(2\vec{a}+\vec{b}) and (a⃗+2b⃗)(\vec{a}+2\vec{b}) is

    Tap an option to check your answer.

  2. Question 2

    16 May 2023 S2

    114
    If a⃗=i^−2j^+3k^\vec{a} = \hat{i} - 2\hat{j} + 3\hat{k} and b⃗=2i^+3j^−k^\vec{b} = 2\hat{i} + 3\hat{j} - \hat{k} are two vectors, then the angle between the vectors 3a⃗+5b⃗3\vec{a} + 5\vec{b} and 5a⃗+3b⃗5\vec{a} + 3\vec{b} is

    Tap an option to check your answer.