science
Grade-11
Easy

Question

The component of vector A=2i+3j and B=i+j

  1. 3.57
  2. 14.1
  3. 7
  4. 3

hintHint:

3.57

The correct answer is: 3.57


    A = 2i + 3j;      B = i + j;
    |B| = √( 1² + 1²) = √2
    A.B = (2i + 3j).(i + j) = 2+3 = 5
    Component of vector A along vector B
    |X| = A.B/|B|
    X = 5/√2 = 3.5355

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