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a = 1, b = 2, c = 3

a = 3, b = 2, c = 1

a = 6, b = 2, c = 3

none of these

none of these

A,B

A

D

A,B &D

Both A and R are true and R is correct explanation of A

Both A and R are true and R is not correct explanation of A

A is true, R is false

A is false, R is true

How many minimum number of non-zero vectors in different planes can be added to give zero resultant?

2

3

4

5

A man standing on a road holds his umbrella at 30° with the vertical to keep the rain away. He throws the umbrella and starts running at 10 km/hr. He finds that raindrops are hitting his head vertically, the speed of raindrops with respect to the road will be

10 km/hr

20 km/hr

30 km/hr

40 km/hr

A 150 m long train is moving to north at a speed of 10 m/s. A parrot flying towards south with a speed of 5 m/s crosses the train. The time taken by the parrot the cross to train would be ____.

30 s

15 s

8 s

10 s

A move with 65 km/h while B is coming back of A with 80 km/h. The relative velocity of B with respect to A is ____.

80 km/h

60 km/ h

15 km/h

145 km/h

This test consist of 10 questions.Students should ideally take 10 minutes to complete the test. This test is useful for those students who are preparing for IIT JEE, AIEEE or any other engineering entrance test. This test consist of questions from Vector Algebra and which, in general, is focused in AIEEE and IIT JEE. In this chapter, Multiplication of a vector and product of two vectors and invertible functions are key topics and mostly application based questions are asked.

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