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Find the value of : (i) (hat(i) xxhat(j...

Find the value of :
(i) `(hat(i) xxhat(j))*hat (k) + hat(i)* hat(j)` (ii) `(hat(k) xx hat(j))* hat(i) +hat(j)* hat(k)`
`hat(i) xx (hat(j) + hat(k) )+hat(j) xx(hat(k) +hat(i))+ hat(k) xx (hat(i)+hat(j))`

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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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