Two vectors A and B are such that A =1,B=2,A.B=1 find angle

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Two vectors A and B are such that A =1,B=2,A.B=1 find angle

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niczorrrr 3 years 2021-09-03T01:41:26+00:00 1 Answers 0 views 0

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    2021-09-03T01:43:13+00:00

    Answer:60^{\circ}

    Explanation:

    Given

    \mid\Vec{A}\mid=1

    \mid\Vec{B}\mid=2

    And A\cdot B=1

    We know \vec{A}\cdot \vec{B}=\mid\Vec{A}\mid\mid\Vec{B}\mid\cos \theta

    Where \theta is the angle between them

    Substituting the values

    1=1\times 2\cos \theta

    \cos \theta =\dfrac{1}{2}

    \theta =60^{\circ}

    Thus the angle between A and B is  60^{\circ}

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