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Find the sum of vectors vec a= hat i-2 ...

Find the sum of vectors ` vec a= hat i-2 hat j+ hat k ,\ vec b=-2 hat i+4 hat j+5 hat k\ a n d\ vec c= hat i-6 hat j-7 hat kdot`

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The correct Answer is:
`-4hat(j)-hat(k)`
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Find the sum of vectors vec a=hat i-2hat j+hat k,vec b=-2hat i+4hat j+5hat k and vec c=hat i-6hat j-7hat k

Find the sum of the vectors vec a=hat i-2hat j+hat k,vec b=-2hat i+4hat j+5hat k and vec c=hat i-6hat j-7hat k

Find vec a.( vec bxx vec c)\ if\ vec a=2 hat i+ hat j+3 hat k ,\ vec b=- hat i+2 hat j+ hat k\ a n d\ vec c=3 hat i+ hat j+2 hat kdot

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 volume of the parallelepiped whose coterminous edges are represented by the vectors: vec a=2 hat i+3 hat j+4 hat k , vec b= hat i+2 hat j- hat k , vec c=3 hat i- hat j+2 hat k vec a=2 hat i+3 hat j+4 hat k , vec b= hat i+2 hat j- hat k , vec c=3 hat i- hat j-2 hat k vec a=11 hat i , vec b=2 hat j- hat k , vec c=13 hat k vec a= hat i+ hat j+ hat k , vec b= hat i- hat j+ hat k , vec c= hat i+2 hat j- hat k

Find the sum of the vectors vec(a)=hat(i)-2hat(j)+hat(k), vec(b)=-2hat(i)+4hat(j)+5hat(k) , and vec(c )=hat(i)-6hat(j)-7hat(k) .

Find the angel between the vectors vec a=hat i-hat j+hat k and vec b=hat i+hat j-hat k

Find the area of the rriangle formed by the tips of the vectors, vec a= (2 hat I - hat j+ 3 hat k), vec b= 4 hat I + 3 hat j-hat k , vec C= 3 hat I - hat j + 2 hat k .

Find angle between the vectors vec a=hat i+hat j-hat k and vec b=hat i-hat j+hat k

Find the projection of vec b+vec c on vec a, where vec a=2hat i-2hat j+hat k,vec b=hat i+2hat j-2hat k and vec c=2hat i-hat j+4hat k

MODERN PUBLICATION-VECTOR ALGEBRA -Objective Type Questions (B. Fill in the Blanks)
  1. The magnitude of projection of (2hat(i)-hat(j)+hat(k)) " on" (hat(i)-2...

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  2. Vector of magnitude 5 units and in the direction opposite to 2hat(i)+3...

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  3. Find the sum of vectors vec a= hat i-2 hat j+ hat k ,\ vec b=-2 hat ...

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  4. The value of 'a' when the vectors : 2hat(i)-3hat(j)+4hat(k) and a...

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  5. If vec(a)=2hat(i)+hat(j)-2hat(k), then |vec(a)|= .

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  6. The direction - ratios of the vector vec(a)=6hat(i)-3hat(j)+2hat(k) ar...

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  7. Find the projection of the vector hat i- hat jon the vector hat i+ ...

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  8. If vec a is a unit vector and (vec x - vec a).(vec x + vec a)=8, then ...

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  9. If vec(p) is a unit vector and (vec(x)-vec(p)).(vec(x)+vec(p))=80, the...

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  10. Angle between hat(i)-hat(j) and hat(j)-hat(k) is .

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  11. Find the value of : (i) (hat(i) xxhat(j))*hat (k) + hat(i)* hat(j) ...

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  12. (hat(k)xx hat(j)).hat(i)+hat(j).hat(k)= ………….

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  13. (hat(k)xx hat(i)).hat(j)+hat(i).hat(k) …………..

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  14. Find lambda if (2 hat i+6 hat j+14 hat k)x\ ( hat i-\ lambda hat j+7 h...

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  15. The magnitude of vec(a)xx vec(b) if vec(a)=2hat(i)+hat(k) and vec(b)...

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  16. If any two of three vectors vec(a), vec(b), vec(c ) are parallel, then...

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  17. The value of 'lambda' such that the vectors : 3hat(i)+lambdahat(j)+5...

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