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Find the value of lambda so that the fol...

Find the value of `lambda` so that the following vectorts are coplanar: ` vec a= hat i+3hat j,\ vec b=5 hat k ,\ vec c=lambda hat i- hat j`

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$$\text{Since these vectors are coplanar}$$ $$ \begin{aligned} &\left|\begin{array}{lll} 1 & 3 & 0 \\ 0 & 0 & 5 \\ ...
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Find the value of lambda so that the following vectorts are coplanar: vec a=hat i-hat j+hat k,vec b=2hat i+hat j-hat k,vec c=lambdahat i-hat j+lambdahat k

Find the value of lambda so that the following vectors are coplanar: vec a=hat i-hat j+hat k,vec b=2hat i+hat j-hat k,vec c=lambdahat i-hat j+lambdahat k

Find the value of lambda so that the following vectorts are coplanar: vec a=2hat i-hat j+hat k,vec b=hat i+2hat j-3hat k,vec c=lambdahat i+lambdahat j+5hat k

Find the value of lambda so that the following vectorts are coplanar: vec a=hat i+2hat j-3hat k,vec b=3hat i+lambdahat j+hat k,vec c=hat i+2hat j+2hat k

Show that each of the following triads of vectors are coplanar: vec a= hat i+2 hat j- hat k , vec b=3 hat i+2 hat j+7 hat k , vec c=5 hat i-6 hat j+5 hat k vec a=-4 hat i-6 hat j-2 hat k , vec b=- hat i+4 hat j+3 hat k , vec c=8 hat i- hat j+3 hat k hat a= hat i-2 hat j+3 hat k , vec b=-2 hat i+3 hat j-4 hat k , vec c= hat i-3 hat j+5 hat k

Find the value of lambda which makes the vectors vec a ,\ vec b and vec c coplanar, where vec a=2 hat i-\ hat j+\ hat k ,\ vec b=\ hat i+\ 2 hat j-\ 3 hat k and vec c"\ "=3 hat i-\ lambda\ hat j+5 hat k

For what value of 'lambda' are the following vectors coplanar ? vec(a)=hat(i)+3hat(j)+hat(k), vec(b)=2hat(i)-hat(j)-hat(k) and vec(c )=lambda hat(i)+7hat(j)+3hat(k) .

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

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) .

Find [vec avec bvec c], when :vec a=2hat i-3hat j,vec b=hat i+hat j-hat k and vec c=3hat i-hat k

RD SHARMA-SCALAR TRIPLE PRODUCT -Solved Examples And Exercises
  1. Show that each of the following triads of vectors are coplanar: vec...

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  2. Show that each of the following triads of vectors are coplanar: vec...

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  3. Show that each of the following triads of vectors are coplanar: ve...

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  4. Find the value of lambda so that the following vectorts are coplana...

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  5. Find the value of lambda so that the following vectorts are coplana...

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  6. Find the value of lambda so that the following vectorts are coplana...

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  7. Find the value of lambda so that the following vectorts are coplanar...

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  8. Show that the points having position vectors 6 hat i-7 hat j ,\ 16 ...

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  9. Show that the points A(-1,\ 4,\ -3),\ B(3,\ 2,\ -5),\ C(-3,\ 8,\ -5)a ...

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  10. Show that four points whose position vectors are 6 hat i-7 hat j ,\...

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  11. Find the value of lambda for which the four points with position ve...

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  12. Prove that ( vec a- vec b)dot{( vec b- vec c)xx( vec c- vec a)}=0

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  13. Let vec a=hat i+hat j+hat k and vec b=i and vec c=c1 hat i + hat c2...

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

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  15. Write the value of [2 hat i\ 3 hat j\ 4 hat k]

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  16. Write the value of [ hat i+ hat j\ hat j+ hat k\ hat k+ hat i]

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  17. Write the value of [ hat i- hat j\ hat j- hat k\ hat k- hat i]

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  18. Find the values of a for which are vectors vecalpha= hat i+2 hat j...

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  19. Find vec a.( vec bxx vec c)\ if\ vec a=2 hat i+ hat j+3 hat k ,\ ve...

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  20. If the vectors 4 hat i+11 hat j+m hat k ,\ 7 hat i+2 hat j+6 hat k\ a ...

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