12-maths Unit 2 (Vector Algebra)
35 Questions
| Attempts: 1621
Prepared by R VISVANATHAN, PG ASST IN MATHS, GHSS, PERIYATHACHUR, TINDIVANAM TK -605651 & www. Padasalai. Net
Questions and Answers
- 1.
If is a non-zero vector and is a non-zero scalar then is a unit vector if (1) (2) (3) (4)- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 2.
If and are two unit vectors and is the angle between them, then is a unit vector if (1) (2) (3) (4)
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 3.
If and include and angle and their magnitude are and then is equal to (1) (2) (3) (4)
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 4.
If , then (1) is a unit vector (2) (3) (4)
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 5.
If then the angle between and is (1) (2) (3) (4)
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 6.
The vector and are perpendicular when (1) (2) (3) (4)
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 7.
The area of the parallelogram having a diagonal and a side is (1) (2) (3) (4)
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 8.
If then (1) is parallel to (2) is perpendicular to (3) (4) and are unit vectors
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 9.
If and are vectors of magnitude then the magnitude of is (1) (2) (3) (4)
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 10.
If then (1) (2) (3) and are parallel (4) or or and are parallel
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 11.
If then the area of the quadrilateral is (1) (2) (3) (4)
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 12.
The projection of on a unit vector equals thrice the area of parallelogram . Then is (1) (2) (3) (4)
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 13.
If the projection of on and projection of on are equal then the angle between and is (1) (2) (3) (4)
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 14.
If for non-coplanar vectors , , then (1) parallel to (2) parallel to (3) parallel to (4)
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 15.
If a line makes , with positive direction of axes x and y then the angle it makes with the z axes is (1) (2) (3) (4)
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 16.
If then is (1) (2) (3) (4)
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 17.
If then is (1) (2) (3) (4)
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 18.
The value of is equal to (1) (2) (3) (4)
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 19.
The shortest distance of the point from the plane is (1) (2) (3) (4)
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 20.
The vector is (1) perpendicular to and (2) parallel to the vectors and (3) parallel to the line of intersection of the plane containing and and the plane containing and (4) perpendicular to the line of intersection of the plane containing and and the plane containing and
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 21.
If are a right handed triad of mutually perpendicular vectors of magnitude then the value of is (1) (2) (3) (4)
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 22.
If are non-coplanar and then is (1) (2) (3) (4)
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 23.
is the equation of (1) a straight line joining the points and (2) plane (3) plane (4) plane
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 24.
If the magnitude of moment about the point of a force acting through the point is then the value of is (1) (2) (3) (4)
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 25.
The equation of the line parallel to and passing through the point in vector form is (1) (2) (3) (4)
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
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