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Q.

Two vectors A and B have magnitudes 6 units and 8 units, respectively. Find |A-B| if the angle between two vectors is 180°.

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a

-3 units

b

6 units

c

14 units

d

50 units

answer is C.

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Detailed Solution

S=A2+B2-2ABcosθS=62+82-2×6×8×cos180°S=196S=14|A-B| when angle is 180° is 14 units.
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