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a1, a2, a3, in R-{0} and a1+a2cos2x+a3s...

`a_1, a_2, a_3, in R-{0}` and `a_1+a_2cos2x+a_3sin^2x=0fora l lx in R ,` then

A

vectors `a=a_1hat(i)+a_2hat(j)+a_3hat(k) and b=4hat(i)+2hat(j)+hat(k)` are perpendicular to each other

B

vectors `a=a_1hat(i)+a_2hat(j)+a_3hat(k) and b=-hat(i)+hat(j)+hat(k)` are perpendicular to each other

C

if vectors `a=a_1hat(i)+a_2hat(j)+a_3hat(k)` is of length `sqrt(6)` units, then one of the ordered triplet `(a_1, a_2, a_3)=(1, -1, -2)`

D

if vectors `2a_1+3a_2+6a_3`, then `|a_1hat(i)+a_2hat(j)+a_3hat(k)|` is `2sqrt(6)`.

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ARIHANT MATHS ENGLISH-PRODUCT OF VECTORS-Exercise (More Than One Correct Option Type Questions)
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  2. Let vecr be a unit vector satisfying vecr xx veca = vecb, " where " |v...

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  3. a1, a2, a3, in R-{0} and a1+a2cos2x+a3sin^2x=0fora l lx in R , then

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  4. If veca and vecb are two vectors and angle between them is theta , the...

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  5. If unit vectors veca and vecb are inclined at an angle 2 theta such th...

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  6. vec b,vec c being non-collinear if vec a xx (vec bxxvec c)+(vec a*ve...

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  7. If in triangle A B C , vec A B= vec u/(| vec u|)- vec v/(| vec v|)a n ...

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

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

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

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

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

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

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

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

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

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  18. If vec a=x hat i+y hat j+z hat k , vec b=y hat i+z hat j+x hat k and v...

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

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  20. Unit vectors veca and vecb ar perpendicular , and unit vector vecc is ...

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