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If a=(1)/(7)(2hat(i)+3hat(j)+6hat(k)): ...

If `a=(1)/(7)(2hat(i)+3hat(j)+6hat(k)): b=(1)/(7)(6hat(i)+2hat(j)-3hat(k)): c=c_1hat(i)+c_2hat(j)+c_2hat(k)` and matrix `A=[[(2)/(7), (3)/(7), (6)/(7)], [(6)/(7), (2)/(7), -(3)/(7)], [c_1, c_2, c_3]] and AT^(T)=I`, then c

A

`(3hat(i)+6hat(j)+2hat(k))/(7)`

B

`(3hat(i)-6hat(j)+2hat(k))/(7)`

C

`(-3hat(i)+6hat(j)-2hat(k))/(7)`

D

`-(3hat(i)+6hat(j)+2hat(k))/(7)`

Text Solution

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The correct Answer is:
B, C
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ARIHANT MATHS-PRODUCT OF VECTORS-Exercise (More Than One Correct Option Type Questions)
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  2. If veca and vecb are two unit vectors perpendicular to each other and...

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

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

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

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

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

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

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

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

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  12. In a four-dimensional space where unit vectors along the axes are ...

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  13. A vector(d) is equally inclined to three vectors a=hat(i)-hat(j)+hat(k...

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  14. If a, b, c are non-zero, non-collinear vectors such that a vectors suc...

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  15. Given three vectors veca, vecb and vecc are non-zero and non-coplanar ...

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  16. If r=hat(i)+hat(j)+lambda(2hat(i)+hat(j)+4hat(k)) and r*(hat(i)+2hat(j...

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  17. If vectors veca and vecb are two adjacent sides of parallelograsm then...

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  18. Let a, b, c be three vectors such that each of them are non-collinear,...

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  19. If a, b and c are non-collinear unit vectors also b, c are non-colline...

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  20. If a=(1)/(7)(2hat(i)+3hat(j)+6hat(k)): b=(1)/(7)(6hat(i)+2hat(j)-3hat...

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