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Q.

What is the angle between A = 5(i^-j^) and B = 5(i^-j^)?

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a

90°

b

45°

c

0

d

60°

answer is C.

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Detailed Solution

A→⋅B→=|A→||B→|cos⁡θHere|A→|=(5)2+(5)2=52|B→|=(5)2+(5)2=52∴(5i^−5j^)⋅(5i^−5j^)=52×52cos⁡θ5×5+5×5=25×2cos⁡θ∴cos⁡θ=1 or θ=0∘
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