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Show that the vectors 2 hat i- hat j+ h...

Show that the vectors `2 hat i- hat j+ hat k , hat i-3 hat j-5 hat k`and `3 hat i-4 hat j-4 hat k`form the vertices of a right angled triangle.

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Show that the vectors 2hat i-hat j+hat k,hat i-3hat j-5hat k and quad 3hat i-4hat j-4hat k form the vertices of a right angled triangle

Show that the points A,B,C with position vectors 2hat i-hat j+hat k,hat i-3hat j-5hat k and 3hat i-4hat j-4hat k respectively,are the vertices of a right angled triangle.Also,find the remaining angles of the triangle.

Show that the vector 2hat i-hat j+hat k,hat i-3hat j-5hat k,3hat i-4hat j-4hat k form the sides of a rights angled triangle.

Show that the vectors 2hat i-hat j+hat k,hat i-3hat j-5hat k and 2hat i+3hat j-4hat k are the sides of a right-angled triangle.

Show that the points A(2hat i-hat j+hat k),B(hat i-3hat j-5hat k),C(3hat i-4hat j-4hat k) are the vertices of a right angled triangle.

Prove that the points hat i-hat j,4hat i-3hat j+hat k and 2hat i-4hat j+5hat k are the vertices of a right angled triangle.

The values of a,for which points A,B,C with position vectors 2hat i-hat j+hat k,hat i-3hat j-5hat k and ahat i3hat j+hat k respectively are the vertices of a right angled triangle with C=(pi)/(2) are

The values of a for which the points A,B, and C with position vectors 2hat i-hat j+hat k,hat i-3hat j-5hat k, and ahat i-3hat j+hat k respectively,are the vertices of a right-angled triangle with C=(pi)/(2) are

The vectors 3hat i-2hat j+hat k,hat i-3hat j+5hat k,&2hat i+hat j-4hat k form the sides of a triangle.Then triangle is

Show that the points A,B and C with position vectors,vec a=3hat i-4hat j-4hat kvec b=2hat i-hat j+hat k and vec c=hat i-3hat j-5hat k respectively form the vertices of a right angled triangle.

MODERN PUBLICATION-VECTOR ALGEBRA -EXERCISE 10 (e ) Long Answer Type Questions (I)
  1. If vec(a)=3hat(i)+hat(j)+9hat(k) and vec(b)=hat(i)+lambda hat(j)+3ha...

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  2. Find the scalar product of the following pairs of vectors and the angl...

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  3. Find the scalar product of the following pairs of vectors and the angl...

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  4. Show that the vectors 2 hat i- hat j+ hat k , hat i-3 hat j-5 hat kan...

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  5. The position vectors of the vertices of Delta ABC are : 3hat(i)-4hat(j...

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  6. If |vec(a)+vec(b)|=|vec(a)-vec(b)|, prove that vec(a) and vec(b) ar...

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  7. If vec(a) and vec(b) are perpendicular vectors, show that : (vec(a...

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  8. Prove that ( -> a+ -> b)dot( -> a+ -> c)| -> a|^2+| -> b|^2 , if and o...

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  9. If vec a , vec b ,a n d vec c are unit vectors such that vec a+ vec ...

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  10. Three vectors vec a,vec b and vec c satisfy the condition vec a+vec b+...

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  11. If the vectors vec(a), vec(b) and vec(c ) satisfy the condition vec(a...

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  12. The scalar product of the vector vec a= hat i+ hat j+ hat k with a un...

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  13. Let -> a , -> b and -> c be three vectors such that | -> a|=3,| -...

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  14. If |a|=a and | vec b|=b , prove that ( vec a/( vec a^2)- vec b/(b^2))^...

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  15. If vec(a)=3hat(i)+hat(j)-4hat(k), vec(b)=6hat(i)+5hat(j)-2hat(k) and ...

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  16. Let -> a= hat i+4 hat j+2 hat k , -> b=3 hat i-2 hat j+7 hat k and...

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  17. Let vec a= hat i+4 hat j+2 hat k ,\ \ vec b=3 hat i-\ 2 hat j+7 hat ...

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  18. Let vec a= hat i+4 hat j+2 hat k ,\ \ vec b=3 hat i-\ 2 hat j+7 hat ...

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  19. Vectors vec(a)=hat(i)+hat(j)+hat(k), vec(b)=hat(j)+3hat(k) and vec(c ...

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  20. Let vec a= hat i- hat j ,\ vec b=3 hat j- hat k\ a n d\ vec c=7 hat...

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