Physics-
General
Easy

Question

If the magnitudes of scalar and vector products of two vectors and are 6 and 6 square root of 3 respectively, then the angle between two vectors is

  1. 15degree  
  2. 30degree  
  3. 60degree  
  4. 75degree  

The correct answer is: 60degree


    stack A with rightwards arrow on top bullet stack B with rightwards arrow on top equals A B c o s theta equals 6
    and open vertical bar stack A with rightwards arrow on top cross times stack B with rightwards arrow on top close vertical bar equals A B s i n theta equals 6 square root of 3
    therefore blank fraction numerator A B s i n theta over denominator A B c o s theta end fraction equals fraction numerator 6 square root of 3 over denominator 6 end fraction equals square root of 3
    or tantheta equals square root of 3
    and theta equals 60 degree

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