CBSE Guess > Papers > Important Questions > Class XII > 2011 > Maths > Maths By Mrs. E.Praveen

CBSE CLASS XII

Vectors-3D-Lines (1Mark)

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21. Find λ , when the projection of on is .
22. If a, b, and c are unit vectors such that , then find the Value of
23. Find the value of x for which is a unit vector.
24. Find the direction cosines of a line that makes equal angle with the coordinate axes
25. Find the angle between two vectors with magnitude and 2 respectively and such that
26. Find
27. Find
28. Find the scalar components of a unit vector which is perpendicular to the vectors .
29. The Cartesian equations of a line AB are . Find the direction ratios of the line AB.
30. If is a unit vector
31. Find the value of

32. Find the angle made by the vector i – 4j + 8k with the z – axis.
33. 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.
34. A line makes angles 60 and 45 with x and y-axis respectively. Find the angle which it makes with z-axis.
35. Find the angle between the line and
36. The equation of a line 3x + 1 = 6y – 2 = 1 – z. Find the d.r’s and d.c’s of the line
37. Find the equation of line which passes through the point (1, -1, 2) and parallel to to
38. Find angle betweenlines r= 4i – 3j + k+ λ(3i + 2j + 6k)andr = 8i – 2k + µ(i + 2j + 2k)
39. If
40. If

 

Submitted By Mrs. E.Praveen
Email Id : [email protected]