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Show that the four points with position vectors```4 hat i+8 hat j+12 hat k ,\ 2 hat i+4\ hat j+6 hat k ,3 hat i+5\ hat j+4 hat k\ a n d\ 5 hat i+8\ hat j+5 hat k`are coplanar.

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Show that the four points with position vectors 4hat i+8hat j+12hat k,2hat i+4hat j+6hat k,quad 3hat i+5hat j+4hat k and 5hat i+8hat j+5hat k are coplanar.

Show that the points whose position vectors are 5 hat i+5 hat k ,\ 2 hat i+ hat j+3 hat k\ a n d-4 hat i+3 hat j- hat k are collinear.

Show that the four points having position vectors 6hat i-7hat j,16hat i-19hat j-4hat k,3hat j-6hat k,2hat i+5hat j+10hat k are not coplanar.

Prove that the four points having position vectors are coplanar: 2hat i-hat j+hat k,hat i-3hat j-5hat k and 3hat i-4hat j-4hat k

Show that the four points having position vectors 6hat i-7hat j,16hat i-19hat j-4hat k,3hat j-6hat k,2hat i-5hat j+10k are coplanar.

Show that the points having position vectors 6hat i-7hat j,16hat i-19hat j-4hat k,3hat j-6hat k,2hat i+5hat j+10hat k are not coplanar.

Show that the four points A,B,C and D with position vectors 4hat i+5hat j+hat k,-(hat j+hat k),3hat j+9hat j+4hat k and 4(-hat i+hat j+hat k) respectively are coplanar.

Find the value of lambda for which the four points with position vectors -hat j-hat k,4hat i+5hat j+lambdahat k,3hat i+9hat j+4hat k and 4hat i+4hat j+4hat k are coplanar.

Find the value of lambda for which the four points with position vectors hat j-hat k,4hat i+5hat j+lambdahat k,3hat i+9hat j+4hat k and -4hat i+4hat j+4hat k are coplanar.

Show that the points whose position vectors are 5hat i+5hat k,2hat i+hat j+3hat k and -4hat i+3hat j-hat k are collinear

MODERN PUBLICATION-VECTOR ALGEBRA -EXERCISE 10 (j) Short Answer Type Questions
  1. Find vec(a).(vec(b)xx vec(c )) if : vec(a)=2hat(i)+hat(j)+3hat(k), v...

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  2. Show that if vec(a)+vec(b), vec(b)+vec(c ), vec(c )+vec(a) are coplana...

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  3. If vec(a)=7hat(i)-2hat(j)+3hat(k), vec(b)=hat(i)-hat(j)+2hat(k), vec(c...

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  4. Show that the vectors vec(a), vec(b), vec(c) are coplanar, when (i) ...

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  5. Show that the following vectors are coplanar : -2hat(i)-2hat(j)+4...

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  6. For what value of 'lambda' are the following vectors coplanar ? ve...

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  7. For what value of 'lambda' are the following vectors coplanar ? v...

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  8. For what value of 'lambda' are the following vectors coplanar ? ve...

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  9. For what value of 'lambda' are the following vectors coplanar ? ve...

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  10. Show that the four points A, B, C and D with position vectors 4hat(i)+...

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  11. Show that the four points with position vectors4 hat i+8 hat j+12 hat ...

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  12. Find lambda for which the points A(3,\ 2,\ 1),\ B(4,\ lambda,\ 5),\ C(...

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  13. Find the value of 'x' for which the four points : A(x, -1, -1), B(4, 5...

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  14. Find the value of 'x' such that four points with position vectors : A(...

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  15. Show that the four points having position vectors 6 hat i-7 hat j ,...

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  16. Find the volume of the parallelopiped whose sides are given by the vec...

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  17. Find the volume of the parallelopiped with coteminous edges AB, AC an...

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