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Show that the following vectors are copl...

Show that the following vectors are coplanar :
`-2hat(i)-2hat(j)+4hat(k), -2hat(i)+4hat(j)-2hat(k), 4hat(i)-2hat(k)` and `hat(i)-hat(j)+hat(k)`.

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Show that the following vectors are coplanar : 3hat(i)-2hat(j)+4hat(k), 6hat(i)+3hat(j)+2hat(k), 5hat(i)+7hat(j)+3hat(k) and 2hat(i)+2hat(j)+5hat(k) .

Show that the following vectors are coplanar : hat(i)-hat(j)+hat(k), 6hat(i)-hat(k) and 4hat(i)+2hat(j)-3hat(k)

If [[hat(i)+4hat(j)+6hat(k), 2hat(i)+ahat(j)+3hat(k), hat(i)+2hat(j)-3hat(k)]]=0 then a=

For what value of 'lambda' are the following vectors coplanar ? vec(a)=2hat(i)-4hat(j)+5hat(k), vec(b)=hat(i)-lambda hat(j)+hat(k) and vec(c )= 3hat(i)+2hat(j)-5hat(k) .

For what value of m are the vector 2hat(i) - 3hat(j) + 4hat(k), hat(i) + 2hat(j)- hat(k) and m hat(i) - hat(j)+ 2hat(k) coplanar?

For what value of m are the vectors 2hat(i)-3hat(j)+4hat(k), hat(i)+3hat(j)-hat(k) and m hat(i)-hat(j)+2 hat(k) coplanar ?

Show that each of the following triads of vectors are coplanar: vec a=hat i-2hat j+3hat k,vec b=-2hat i+3hat j-4hat k,vec c=hat i-3hat j+5hat k

Show that each of the following triads of vectors are coplanar: vec a=-4hat i-6hat j-2hat k,vec b=-hat i+4hat j+3hat k,vec c=-8hat i-hat j+3hat k

Show that the vectors : vec(a)=hat(i)-2hat(j)+3hat(k), vec(b)=-2hat(i)+3hat(j)-4hat(k) and vec(c )=hat(i)-3hat(j)+5hat(k) are 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(i)+9hat(j)+4hat(k) and 4(-hat(i)+hat(j)+hat(k)) respectively are coplanar.

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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