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If veca and vecb are two vectors of magn...

If `veca and vecb` are two vectors of magnitude 1 inclined at `120^(@)`, then find the angle between `vecb and vecb-veca`.

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`|veca|= |vecb|=1`
Hence, vectors `veca and vecb` are adjacent sides of rhombus `OACB`
Angle between `veca and vecb` is `120^(@)`.
Also diagonals of rhombus are OC and AB. Thus,
`" "vec(OC)= veca+vecb and vec(AB)= vecb-veca`
Clearly from the figure, angle between `vecb and vecb-veca` is `30^(@)`.
`
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CENGAGE-INTRODUCTION TO VECTORS -Exercise 1.1
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  12. If vec A O+ vec O B= vec B O+ vec O C , then A ,Bn a dC are (where O ...

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  13. If the sides of an angle are given by vectors veca=hati-2hatj+2hatk an...

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  14. A B C D is a parallelogram. If La n dM are the mid-points of B Ca n dD...

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  15. A B C D is a quadrilateral. E is the point of intersection of th...

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  16. What is the unit vector parallel to vec a=3 hat i+4 hat j-2 hat k ...

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  17. The position vectors of points Aa n dB w.r.t. the origin are vec a...

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  18. If vec r1, vec r2, vec r3 are the position vectors off thee collinear...

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  19. If veca and vecb are two vectors of magnitude 1 inclined at 120^(@), t...

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