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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 2 of 6
- Find λ , when the projection of on is
.
- If a, b, and c are unit vectors such that
, then find the
Value of ![](../images/math20.gif)
- Find the value of x for which
is a unit vector.
- Find the direction cosines of a line that makes equal angle with the coordinate axes
- Find the angle between two vectors
with magnitude and 2 respectively and such that ![](../images/m3.gif)
- Find
![](../images/m4.gif)
- Find
![](../images/m5.gif)
- Find the scalar components of a unit vector which is perpendicular to the vectors
.
- The Cartesian equations of a line AB are
. Find the direction ratios of the line AB.
- If
is a unit vector ![](../images/m8.gif)
- Find the value of
- Find the angle made by the vector i – 4j + 8k with the z – axis.
- Find the position vector of a point R which divides the line joining the points P(i + 2j – k) and Q(-i + j + k) in the ratio
2 : 1 externally.
- A line makes angles 60 and 45 with x and y-axis respectively. Find the angle which it makes with z-axis.
- Find the angle between the line
and ![](../images/m12.gif)
- The equation of a line 3x + 1 = 6y – 2 = 1 – z. Find the d.r’s and d.c’s of the line
- Find the equation of line which passes through the point (1, -1, 2) and parallel to to
![](../images/m13.gif)
- Find angle betweenlines r= 4i – 3j + k+ λ(3i + 2j + 6k)andr = 8i – 2k + µ(i + 2j + 2k)
- If
![](../images/m14.gif)
- If
![](../images/m15.gif)
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Submitted By Mrs. E.Praveen
Email Id : [email protected] |
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