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Question: If <img src="https://cdn.pureessence.tech/canvas_498.png?top_left_x=885&top_left_y=866&width=180&hei...

If and b‾\overline { \mathrm { b } } are two vectors of magnitude 1 inclined at 1200, then the angle between b‾\overline { \mathrm { b } } and b‾\overline { \mathrm { b } } – is-

A

π4\frac { \pi } { 4 }

B

π3\frac { \pi } { 3 }

C

π6\frac { \pi } { 6 }

D

5π6\frac { 5 \pi } { 6 }

Answer

π6\frac { \pi } { 6 }

Explanation

Solution

OA‾\overline { \mathrm { OA } }= a‾\overline { \mathrm { a } } OB‾\overline { \mathrm { OB } } =b‾\overline { \mathrm { b } }, AB‾\overline { \mathrm { AB } } = b‾\overline { \mathrm { b } } –ĐAOB = 1200

From the diagram, it is clear that

OBC = 300= π6\frac { \pi } { 6 }