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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 `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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A, B, C
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ARIHANT MATHS-PRODUCT OF VECTORS-Exercise (More Than One Correct Option Type Questions)
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  3. If in triangle A B C , vec A B= vec u/(| vec u|)-- vec v/(| vec v|)a n...

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  4. If a, b and c be the three non-zero vectors satisfying the condition a...

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  5. Given the following informations about the non-zero vectors A, B and C...

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  6. Let a, b and c are non-zero vectors such that they are not orthogonal ...

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  7. Given three vectors U=2hat(i)+3hat(j)-6hat(k), V=6hat(i)+2hat(j)+2hat(...

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  8. Let vec a=2 hat i- hat j+ hat k , vec b= hat i+2 hat j= hat ka n d ve...

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  9. Three vectors veca,vecb,vecc are such that vecaxxvecb= 3(vecaxxvecc)Al...

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  10. Let a, b and c be non-zero vectors and |a|=1 and r is a non-zero vecto...

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  11. If veca and vecb are two unit vectors perpendicular to each other and...

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  12. Given three non-coplanar vectors OA=a, OB=b, OC=c. Let S be the centre...

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  13. If a=hat(i)+hat(j)+hat(k) and b=hat(i)-hat(j), then the vectors (a*hat...

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  14. If vec a=x hat i+y hat j+z hat k , vec b=y hat i+z hat j+x hat ka n d...

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  15. If veca, vecb, vecc are three non-zero vectors, then which of the foll...

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  16. Let the unit vectors a and b be perpendicular and the unit vector c be...

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  17. If veca, vecb, vecc are three non-zero vectors, then which of the foll...

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  18. Let veca and vecb be two non- zero perpendicular vectors. A vector vec...

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  19. If veca and vecb are any two unit vectors, then find the greatest post...

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  20. If vec a is perpendicular to vec b and vec r is non-zero vector suc...

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