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If in triangle A B C , vec A B= vec u/(|...

If in triangle `A B C , vec A B= vec u/(| vec u|)- vec v/(| vec v|)a n d vec A C=(2 vec u)/(| vec u|),w h e r e| vec u|!=| vec v|,` then
a. `1+cos2A+cos2B+cos2C=0`
b.`sinA=cos C`
c. projection of `A C` on `B C` is equal to `B C`
d. projection of `A B` on `B C` is equal to `A B`

A

`1+cos2A+cos2B+cos3C=0`

B

`sinA=cosC`

C

projection of AC on BC is equal to BC

D

projection of AB on BC is equal to AB

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The correct Answer is:
A, B, C
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