Determine a unit vector in the direction of AB where A =-2 i +3 j +6 k and B =4 i -2 j + k

Physics · NEET · NTA ExamsBASIC MATHEMATICS AND VECTOR

Determine a unit vector in the direction of \(\overrightarrow{\mathrm{AB}}\) where \(\vec{A}=-2 \hat{i}+3 \hat{j}+6 \hat{k} \text { and } \vec{B}=4 \hat{i}-2 \hat{j}+\hat{k}\)
  1. \(\frac{2 \hat{\mathbf{i}}+\hat{j}+7 \hat{\mathbf{k}}}{\sqrt{54}}\)
  2. \(\frac{6 \hat{i}-5 \hat{j}-5 \hat{k}}{\sqrt{86}}\)
  3. \(\frac{2 \hat{\mathbf{i}}+\hat{j}-7 \hat{\mathbf{k}}}{\sqrt{54}}\)
  4. \(\frac{6 \hat{i}+5 \hat{j}-5 \hat{k}}{\sqrt{86}}\)

Answer

(B) 6 i -5 j -5 k 86

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