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Resultant of two vectors perpendicular to one of them

This type of question, asked 4 times: 19 Apr 2025 S2, 12 May 2026 S2, 14 May 2026 S1, 14 May 2026 S2. All 4 questions below, oldest first.

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  1. Question 1

    19 Apr 2025 S2

    1
    The resultant of two vectors A→\overrightarrow{A} and B→\overrightarrow{B} is C→\overrightarrow{C}. If the magnitude of B→\overrightarrow{B} is doubled, the new resultant vector becomes perpendicular to A→\overrightarrow{A}, then the magnitude of C→\overrightarrow{C} is

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  2. Question 2

    12 May 2026 S2

    102
    The resultant of two vectors A⃗\vec{A} and B⃗\vec{B} is C⃗\vec{C}. If the magnitude of B⃗\vec{B} is doubled, the new resultant vector becomes perpendicular to A⃗\vec{A}. Then the magnitude of C⃗\vec{C} is

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  3. Question 3

    14 May 2026 S1

    101
    A vector A⃗\vec{A} has magnitude 66 units is added to vector B⃗\vec{B} which is along xx-axis. The resultant of A⃗\vec{A} and B⃗\vec{B} is along yy-axis. If the magnitude of the resultant of A⃗\vec{A} and B⃗\vec{B} is 33 times that of B⃗\vec{B} then the magnitude of B⃗\vec{B} is

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  4. Question 4

    14 May 2026 S2

    101
    The resultant R⃗\vec{R} of P⃗\vec{P} and Q⃗\vec{Q} is perpendicular to P⃗\vec{P}. Also ∣P⃗∣=∣R⃗∣|\vec{P}| = |\vec{R}|. The angle between P⃗\vec{P} and Q⃗\vec{Q} is (tan⁡45∘=1)(\tan 45^\circ = 1)

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