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

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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 positions vectors 4hati-3hatj+hatk,2hati-4hatj+5hatk,hati-hatj from a right angled triangle.

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

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

The volume of the tetrahedronwhose vertices are the points with position vectors hati-6hatj+10hatk, -hati-3hatj+7hatk, 5hati-hatj+lamdahatk and 7hati-4hatj+7hatk is 11 cubic units then the value of lamda is (A) 7 (B) 1 (C) -7 (D) -1

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

SURA PUBLICATION-VECTOR ALGEBRA -I-EXERCISE 8.2
  1. Find the direction cosines and direction ratios for the following vect...

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  2. Find the direction cosines and direction ratios for the following vect...

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  3. Find the direction cosines and direction ratios for the following vect...

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  4. Find the direction cosines and direction ratios for the following vect...

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  5. A triangle is formed by joining the points (1,0,0), (0,1,0) and (0,0,1...

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  6. If (1)/(2),(1)/(sqrt(2)) a are the direction cosines of some vector, t...

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  7. If (a,a+b,a+b+c) is one set of direction ratios of the line joining (1...

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  8. Show that the vectors 2hat(i)-hat(j)+hat(k),3hat(i)-4hat(j)-4hat(k), h...

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  9. Find the value of lambda for which the vectors veca=3hat(i)+2hat(j)+9h...

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  10. Show that the vectors are coplanar hat(i)-2hat(j)+3hat(k),-2hat(i)+...

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  11. Show that the vectors are coplanar 2hat(i)+3hat(j)+hat(k),hat(i)-hat...

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  12. Show that the points whose position vectors 4hat(i)+5hatj+hatk,-hatj-h...

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  13. If veca=2hati+3hatj-4hatk,vecb=3hati-4hatj-5hatk, and vecc=-3hati+2hat...

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  14. If veca=2hati+3hatj-4hatk,vecb=3hati-4hatj-5hatk, and vecc=-3hati+2hat...

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  15. The position vectors of the vertices of a triangle are hati+2hatj+3hat...

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  16. Find the unit vector parallel to 3veca-2vecb+4vecc,"if"" "veca=3hati-h...

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  17. The position vectors veca,vecb,veccof three points satisfy the relatio...

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  18. The position vectors of the points P,Q,R,S are hati+hatj+hatk,2hati+5h...

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  19. Find the value or values of m for which m (hati+hatj+hatk) is a unit v...

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  20. Show that the points A (1,1,1), B (1,2,3) and C (2,-1,1) are vertices ...

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