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Vector of length 3 sqrt(2) making angles of 45 and 90 degrees with the y- and z-axes

The same question, asked 2 times: 13 Apr 2026 S1, 15 Apr 2026 S1. Every wording below, oldest first.

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  1. Question 1

    13 Apr 2026 S1

    90
    A vector rˉ\bar{r} of magnitude 323\sqrt{2} units which makes angles of π4\dfrac{\pi}{4} and π2\dfrac{\pi}{2} respectively with Y and Z axes is

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  2. Question 2

    15 Apr 2026 S1

    90
    The vector rˉ\bar{r} whose magnitude is 323\sqrt{2} units and which makes angles of π4\dfrac{\pi}{4} and π2\dfrac{\pi}{2} with the positive y- and z-axes respectively is....

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