Q13 of 60 Page 29

Let and Find the angle between them.

Magnitudes of both the vectors is given as

= =√29, = =√50


Dot product of these vectors


But the value of dot product is also given by abCosθ


Therefore,





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Let A1 A2 A3 A4 A5 A6 A1 be a regular hexagon. Write the x-components of the vectors represented by the six sides taken in order. Use the fact that the resultant of these six vectors is zero, to prove that Cos0 + cosπ/3 + cos2π/3 + cos3π/3 + cos4π/3 + cos5π/3 = 0.


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If and find