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Let `A=(2alpha, 1,alpha), B=(2, 1, 3), C=3i-j+4k." If "AB times C=5i-9j-6k," then "alpha^(2)-3alpha+7=`________

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MCGROW HILL PUBLICATION-VECTOR ALGEBRA-EXERCISE (Numerical Answer Type Questions)
  1. Let ABCD be a parallelogram whose diagonals intersect at point P. Supp...

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  2. If ABCDEF is a regular hexagon , then bar(AB) + bar(AC) + bar(AE) + ...

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  3. Suppose a and b are two non-zero vectors and angle between a and b is ...

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  4. Suppose a, b, c are three vectors such that abs(a)=7. If a + b + c = 0...

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  5. Suppose a, b, c are three vectors such that a+b+c=0, abs(a)=abs(b)=1" ...

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  6. Suppose a, b, c are three vectors such that abs(a)=abs(b)=abs(c)=1" an...

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  7. Suppose -i+j-k bisects the angle between the vector c and 3i+4j." If "...

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  8. Suppose a, b, c gt 0 and are respectively the pth, qth and rth terms o...

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  9. Let a=2lambda^(2)i+4lambdaj+k" and "b=7i-2j+lambdak. The number of val...

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  10. Suppose a, b, c are three non-coplanar vectors. Suppose Delta=|{:(a*...

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  11. Suppose a, b, c are three non-coplanar vectors, then ((a+b+c)*((a+c)...

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  12. Suppose A(1), A(2), …, A(5) are vertices of a regular pentagon with O ...

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  13. Suppose a, b, c are three non-zero vectors such that b and c are non-c...

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  14. Let alpha=3i+j" and "beta=2i-j+3k." Suppose "beta=beta(1)-beta(2)," wh...

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  15. Let a=i-2j+k" and "b=i-j+lambdak, (where lambda in Z) be two vectors. ...

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  16. The vectors, p=(a+1)i+aj+ak, q=ai+(a+1)j+ak" and "r=ai+aj+(a+q)k. If 3...

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  17. Suppose OA=2i+2j+k, OB=3i+4j+12k. If OC=1/16(45i+aj+bk) is internal an...

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  18. Let A=(2alpha, 1,alpha), B=(2, 1, 3), C=3i-j+4k." If "AB times C=5i-9j...

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