ECAT Mathematics Vectors Chapter Online Test

ECAT Math Vectors

ECAT Math Vectors Chapter Online Test

Total Questions: 50
Time Allowed: 20 Minutes
Total Marks: 50
How to Attempt Test: Please choose the right Option in MCQ-type question.
Test Helpful For: ECAT Entry Test
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1. The perpendicular bisector of any chord of a circle

2. The magnitude of a vector can never be

3. An example of vector quantity is

4. A vector with magnitude one is called

5. If the vector 2i + 4j – 7k and 2i + 6j + xk are perpendicular then x = ?

6. The vector quantity in the following is

7.

8. If u = -I + 2j + 4k and V = 2i –j + 4k are two adjacent sides of a parallelogram then area of parallelogram is

9. The area enclosed by the triangle ABC whose vertices are A(1, 2, -3) B (0,0,0) and c (2, 4, 7) is

10.

11. The cosine of the angle between the vector a and b where a = I + 2j – k , b = -I + j – 2k is

12. The volume of the tetrahedron that has a = I + 2j + 3k, b = 3i + j + 2k and c = 2i + 3j + k as its vertices is

13. [k – i, i – j, j – k] = ?

14. 3j . k x i

15. If u = [3, -4], then {u} = ?

16. The locus of the point of intersection of tangents to an ellipse at two points, sum of whose eccentric angles is constant is

17. The two different parts of the hyperbola are called its

18. The perimeter a triangle formed by 3i + 4j + 5k, 4i -3j -5k and 7i + j is

19. If 1 and 1 are x and y –components of a vector, then its angle with x – axis is

20. The value of 3j. (^k + ^i) = ?

21. The line through the center and perpendicular to the transverse axis is called the

22. If V = [2, 1, 3] and w = [–1, 4, 0] then |V – 2w| =

23. An example of scalar quantity is

24. The area of a parallelogram whose adjacent sides are represented by 3i k and I + 2j is

25. A vector of magnitude 5 and perpendicular to a = i + 3j-k and b = 3i –j is


 

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