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The position vectors of the points A and B are respectively 3 i -5 j +2 k and i + j - k . What is the length of A B ?

Options

  1. A11
  2. B9
  3. C7
  4. D6

Correct answer

C. 7

Step-by-step solution

aligned AB & =(3-1) i +(-5-1) j +(2-(-1)) k & =2 i -6 j +3 k | AB | & = (2)^2+(-6)^2+(3)^2 & = 4+36+9 = 49 =7 units. aligned

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