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Find lambda if (2 hat i+6 hat j+14 hat k...

Find `lambda` if `(2 hat i+6 hat j+14 hat k)times ( hat i-\ lambda hat j+7 hat k)= vec0`

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The correct Answer is:
`lambda=-3`
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RS AGGARWAL-CROSS,OR VECTOR, PRODUCT OF VECTORS-Exercise 24
  1. Find ( vec (a) xxvec (b)) and |vec(a) xx vec (b)|,when (i) vec(a) = ...

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  2. Find lambda if (2 hat i+6 hat j+14 hat k)times ( hat i-\ lambda hat j+...

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  3. If vec(a) = (-3hat(i)+4hat(j)-7hat(k)) and vec(b)=(6hat(i)+ 2hat(j)-3h...

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  4. Find the value of : (i) (hat(i) xxhat(j))*hat (k) + hat(i)* hat(j) ...

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  5. Find the unit vectors perpendicular to both vec(a) and vec(b) when ...

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  6. Find the unit vectors perpendicular to the plane of the vectors vec(...

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  7. Find a vector of magnitude 6 which is perpendicular to both the vector...

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  8. Find a unit vector perpendicular to each of the vectors ( -> a+ -> ...

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  9. Find the angle between two vectors vec(a) and vec(b) with magnitudes 1...

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  10. Let vec a= hat i- hat j ,\ vec b=3 hat j- hat k and vec c=7 hat i- h...

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  11. If vec(a)=(4hat(i)+ 5 hat(j) - hat(k)),vec(b)=(hat(i)-4 hat(j)+ 5 hat(...

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  12. Prove that |vec(a) xx vec(b)|=(vec(a)*vec(b)) tan theta," where " the...

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  13. Write the value of p for which vec a=3 hat i+2 hat j+9 hat k\ a n d\ ...

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  14. verify thatvec(a) xx (vec(b)+ vec(c))=(vec(a) xx vec(b))+(vec(a) xx ve...

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  15. Find the area of the parallelogram whose adjacent sides are represente...

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  16. Find the area of the parallelogram whose diagonals are represented by...

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  17. Find the area of the trinagle whose two adjacent sides are determined ...

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  18. Using vectors, find the area of Delta ABC whose vertices are (i) A...

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  19. Using vector method, show that the given points A,B,C are collinear: ...

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  20. Show that the points A,B,C with position vectors (3hat(i)- 2 hat(j)+ 4...

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