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CBSE Guess > Papers > Important Questions > Class XII > 2011 > Maths > Maths By Mrs. E.Praveen
CBSE CLASS XII
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Vectors-3D-Lines (1Mark)
Page 1 of 6
- Find a vector in the direction of vector
that has magnitude 7 units.
- Find
, if two vectors are such that .
- Find the value of
![](../images/math3.gif)
- Find the projection of the vector
![](../images/math4.gif)
- If
are any two vectors such that then what is the angle between ?
- Find the unit vector paralle to vactors 3і+ ϳ - 3k and -2і - ϳ+ 3 k
- Find the value of λ if λі + 2ϳ + k and 5і - 9ϳ + 2k are perpendicular .
- If
find the angle between and .
- Find the unit vector in the direction of
![](../images/math8.gif)
- Write the vector equation and the direction ratio of the line
![](../images/math9.gif)
- Cartesian equations of a line AB are:-
![](../images/math10.gif) Write the equation of a line passing through (1, 2, 3) parallel to AB.
- Write the position vector of a point dividing the line segment joining points A and B with
position Vectors
externally in the ratio 1 : 3 , where
and .
- If
find a unit vector in the direction of ![](../images/math14.gif)
- If
= 2j+2 k b = 3i – 5k find ![](../images/math15.gif)
- Find ‘λ’ so that vectors
are perpendicular .
- Find the Cartesian and vector equations of a line which passes through the point (1,2,3) and
is parallel to the line
![](../images/math17.gif)
- Find the unit vector perpendicular to the vectors a = i + 3j + 4k and b = 2i – j – 3k.
- What is the value of i∙ ( j x k ) + j ∙ ( k x i ) + k ∙ ( i x j ) ?
- Write all unit vector in X Y plane.
- Find a vector of magnitude 9 units, which is perpendicular to both the vectors
![](../images/math18.gif)
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Submitted By Mrs. E.Praveen
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