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Test: Vectors- Assertion & Reason Type Questions - JEE MCQ


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6 Questions MCQ Test Mathematics (Maths) Class 12 - Test: Vectors- Assertion & Reason Type Questions

Test: Vectors- Assertion & Reason Type Questions for JEE 2024 is part of Mathematics (Maths) Class 12 preparation. The Test: Vectors- Assertion & Reason Type Questions questions and answers have been prepared according to the JEE exam syllabus.The Test: Vectors- Assertion & Reason Type Questions MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Vectors- Assertion & Reason Type Questions below.
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Test: Vectors- Assertion & Reason Type Questions - Question 1

Direction: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as

Assertion (A): The position vector of a point say and its magnitude is

Reason (R): If then coefficient of are called the direction ratios of vector

Detailed Solution for Test: Vectors- Assertion & Reason Type Questions - Question 1
Assertion (A) and Reason (R) both are individually correct.
Test: Vectors- Assertion & Reason Type Questions - Question 2

Direction: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as

Assertion (A): The area of parallelogram with diagonals

Reason (R): If represent the adjacent sides of a triangle, then the area of triangle can be obtained by evaluating

Detailed Solution for Test: Vectors- Assertion & Reason Type Questions - Question 2
If represent the adjacent sides of a triangle, then the area of triangle can be obtained by evaluating
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Test: Vectors- Assertion & Reason Type Questions - Question 3

Direction: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as

Assertion (A): The direction of cosines of vector

Reason (R): A vector having zero magnitude and arbitrary direction is called ‘zero vector’ or ‘null vector’.

Detailed Solution for Test: Vectors- Assertion & Reason Type Questions - Question 3
Assertion (A) is correct.

Direction cosines of

Test: Vectors- Assertion & Reason Type Questions - Question 4

Direction: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as

Assertion (A): The position of a particle in a rectangular coordinate system is (3, 2, 5). Then its position vector be

Reason (R): The displacement vector of the particle that moves from point P(2, 3, 5) to point Q(3, 4, 5) is

Detailed Solution for Test: Vectors- Assertion & Reason Type Questions - Question 4
Assertion (A) is wrong.

The position of a particle in a rectangular coordinate system is (3, 2, 5). Then its position vector be

Reason (R) is correct.

The displacement vector of the particle that moves from point P(2, 3, 5) to point Q(3, 4, 5)

Test: Vectors- Assertion & Reason Type Questions - Question 5

Direction: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as

Assertion (A): The vectors which can undergo parallel displacement without changing its magnitude and direction are called free vectors.

Reason (R):

Detailed Solution for Test: Vectors- Assertion & Reason Type Questions - Question 5
Assertion (A) and Reason (R) both are individually correct.

Reason (R) is the distributive property of dot product.

Test: Vectors- Assertion & Reason Type Questions - Question 6

Direction: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as

Assertion (A): For any two vectors we always have

Reason (R): The given inequality holds trivially when either in such a case

Then consider

So, let us check it for

For cos θ ≤ 1, we have :

or

or

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