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In the cube of side 'a' shown in the figure , the vector from the central point of the face ABOD to the central point of the face BEFO will be:

  • Option 1)

    \frac{1}{2}a\left ( \widehat{k} - \widehat{i} \right )

  • Option 2)

    \frac{1}{2}a\left ( \widehat{i}- \widehat{k} \right )

  • Option 3)

    \frac{1}{2}a\left ( \widehat{j}- \widehat{i} \right )

  • Option 4)

    \frac{1}{2}a\left ( \widehat{j} - \widehat{k}\right )

Answers (1)

best_answer

 

Vector Subtraction -

When two vectors are having different direction, then these vectors said to follow law of vector subtraction.

- Direction is same as of that vector whose magnitude is greater/large.

- wherein

Vector \vec{A} moves in east direction with 4 magnitude  & vector B is in west direction. With 2 magnitude. Find their resultant ?.

\xrightarrow[{\vec{A}\; \;\; \; \; \; \; \; \; east}]{4}

\xleftarrow[{\vec{B}\; \;\; \; \; \; \; \; \; west}]{2}

= \vec{A}-\vec{B}=4-2=2

Resultant vector is in east because \vec{A}has grater magnitude.

\vec{r_{g}}=\frac{a}{2}\widehat{i}+\frac{a}{2}\hat{K}

\vec{r_{h}}=(\frac{a}{2})\widehat{j}+(\frac{a}{2})\hat{K}

GH=\vec{r_{H}}-\vec{r_{g}}= \frac{a}{2} ( \widehat{j}-\widehat{i} )

 

 


Option 1)

\frac{1}{2}a\left ( \widehat{k} - \widehat{i} \right )

Option 2)

\frac{1}{2}a\left ( \widehat{i}- \widehat{k} \right )

Option 3)

\frac{1}{2}a\left ( \widehat{j}- \widehat{i} \right )

Option 4)

\frac{1}{2}a\left ( \widehat{j} - \widehat{k}\right )

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