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Show that the points whose position vect...

Show that the points whose position vectors are `2hati + 3hatj - 5hatk , 3hati +hatj - 2hatk and 6hati - 5hatj + 7hatk` are collinear.

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the three points are collinear
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Show that the points vectors are 2hati+3hatj-5hatk,3hati+hatj-2hatk and 6hati-5hatj+7hatk are collinear.

Show that the points whose position vectors 4hati + 5hatj + hatk, -hatj -hatk, 3hati + 9hatj + 4hatk and -4hati + 4hatj + 4hatk are coplanar.

Show that the points whose position vectors 4hat(i)+5hatj+hatk,-hatj-hatk,3hati+9hatj+4hatk and -4hati+4hatj+4hatk are coplanar.

Show that the points whose positions vectors 4hati-3hatj+hatk,2hati-4hatj+5hatk,hati-hatj from a right angled triangle.

Prove that the points whose position vectors 2hati+4hatj+3hatk,4hati+hatj+9hatk and 10hati-hatj+6hatk form a right angled triangle.

Show that the vectors hati+2hatj-3hatk , 2hati-hatj+2hatk and 3hati+hatj-hatk are coplanar.

NCERT TAMIL-VECTOR ALGEBRA - I -EXERCISE 8.5
  1. Show that the points whose position vectors are 2hati + 3hatj - 5hatk ...

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  2. The value of vec(AB) + vec(BC) + vec(DA)+vec(CD) is

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  3. If veca + 2vecb and 3veca + mvecb are parallel, then the value of m i...

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  4. The unit vector parallel to the resultant of the vectors hati + hatj -...

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  5. A vector vec(OP) makes 60^@ and 45^@ with the positive direction of ...

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  6. If vec(BA) = 3hati+ 2hatj + hatk and the position vector of B is hati...

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  7. A vector makes equal angle with the positive direction of the coordina...

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  8. The vectors veca - vecb , vecb - vecc , vecc - veca are

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  9. If ABCD is a parallelogram, then vec(AB)+ vec(AD)+ vec(CB)+vec(CD) is...

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  10. One of the diagonals of parallelogram ABCD with veca and vecb as adja...

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  11. If veca ,vecb are the position vectors A and B, then which one of the...

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  12. If veca, vecb , vecc are the position vectors of three collinear point...

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  13. If vecr = (9 veca + 7hatb)/16 then the point P whose position vector v...

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  14. If lamda hati + 2lamda hatj + 2lamda hatk is a unit vector , then the ...

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  15. Two vertices of a triangle have position vectors3hati+4hatj-4hatk and...

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  16. If |veca + vecb| = 60 , |veca - vecb| = 40 and |vecb| = 46 , then |ve...

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  17. If veca and vecb having same magnitude and angle between them is 60^@ ...

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  18. The value of theta in(0,pi/2) for which the vectors veca= (sin theta) ...

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  19. If |veca| = 13 |vecb| = 5 and veca.vecb = 60^@ then |vecaxxvecb| is

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  20. Vectors veca and vecb are inclined at an angle theta = 120^@ . If |vec...

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  21. If veca xxvecb are two vectors of magnitude 2 and inclined at an angle...

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