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Find λ if the vectors hat i-hat j+ hat k...

Find `λ` if the vectors `hat i-hat j+ hat k, 3 hat i+ hat j+ 2 hat k and hat i+ λ hat j- 3 hat k` are coplanar.

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Find lambda if the vectors hat(i) - hat(j) + hat(k) , 3 hat (i) + hat(j) + 2 hat(k) and lambda hat(j) - 3 hat(k) are coplanar

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Find λ if vectors vec a = hat i +λ hat j +hat k, vec b= 2hat i -hat j-hat k and vec c =7 hat j +3hat k are coplanar.

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PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. Find [vec a, vec b, vec c] if vec a= hati -2 hat j+ 3 hat k, vec b=2 h...

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  2. Show that the vectors vec a= hat i- 2hat j+ 3hat k, vec b,= -2hat i + ...

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  3. Find λ if the vectors hat i-hat j+ hat k, 3 hat i+ hat j+ 2 hat k and ...

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  4. Let vec a= hat i+ hat j+ hat k and vec b = hat i and vec c=c1 hat i + ...

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  5. Let vec a= hat i+ hat j+ hat k and vec b = hat i and vec c=c1 hat i + ...

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  6. Show that the four points with position vectors 4hati+8 hat j +12hat k...

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  7. Find 'x' such that the four points : A(3,2,1),B(4,x,5),C(4,2,-2) and D...

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  8. If a,b and c are coplanar show "[a+b b+c c+a]" are coplanar.

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  9. Write down a unit vector in XY-plane, making an angle of 30^o with the...

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  10. Find the scalar components and magnitude of the vector joining the poi...

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  11. A girl walks 4 km towards west, then she walks 3 km in a direction 30^...

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  12. If vec a= vec b + vec c then is it true that |vec a|= |vec b|+ |vec c|...

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  13. Find the value of x for which x (hat i +hat j +hat k) is a unit vector...

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  14. Find a vector of magnitude 5 units, and parallel to the resultant of t...

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  15. If vec a= hat i+hat j+hat k , vec b = 2 hat i- hat j+3 hat k and vec c...

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  16. Show that the points A (1, - 2, - 8), B (5, 0,- 2) and C (11, 3, 7) ar...

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  17. Find the position vector of a point R which divides the line joining t...

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  18. The two adjacent sides of a parallelogram are 2 hat i-4 hat j+5 hatk a...

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  19. Show that the direction cosines of a vector equally inclined to the ax...

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  20. Let a=hat(i)+4hat(j)+2hat(k), b=3hat(i)-2hat(j)+7hat(k) and c=2hat(i)-...

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