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Vector Algebra: Vector Triple Product(24 Nov) - JEE MCQ


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10 Questions MCQ Test - Vector Algebra: Vector Triple Product(24 Nov)

Vector Algebra: Vector Triple Product(24 Nov) for JEE 2024 is part of JEE preparation. The Vector Algebra: Vector Triple Product(24 Nov) questions and answers have been prepared according to the JEE exam syllabus.The Vector Algebra: Vector Triple Product(24 Nov) MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Vector Algebra: Vector Triple Product(24 Nov) below.
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Vector Algebra: Vector Triple Product(24 Nov) - Question 1

If are non-coplanar vectors and are real numbers, then the equality  holds for:

Detailed Solution for Vector Algebra: Vector Triple Product(24 Nov) - Question 1



This is possible only when p = 0, q = 0 ∴ There is exactly one value of (p,q)

Vector Algebra: Vector Triple Product(24 Nov) - Question 2

Let where  where  are three non-coplanar vectors.
If is perpendicular to , then minimum value of is

Detailed Solution for Vector Algebra: Vector Triple Product(24 Nov) - Question 2

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Vector Algebra: Vector Triple Product(24 Nov) - Question 3

Let  be non-coplanar vectors and . What is the value of

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Vector Algebra: Vector Triple Product(24 Nov) - Question 4

Let  and be three non zero vectors such that is a unit vector perpendicular to both the vectors and . If the angle between and is , then  is equal to 

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Vector Algebra: Vector Triple Product(24 Nov) - Question 5

Let a = i − j, b = j − k, c = k − i. If is a unit vector such that , then is equal to

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Vector Algebra: Vector Triple Product(24 Nov) - Question 6

The volume of the tetrahedron whose vertices are with position vectors  and is 11 cubic unit if equals

Detailed Solution for Vector Algebra: Vector Triple Product(24 Nov) - Question 6


Volume of tetrahedron


Vector Algebra: Vector Triple Product(24 Nov) - Question 7

If  where are any three vectors such that then and are

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Vector Algebra: Vector Triple Product(24 Nov) - Question 8

The vectors are such that Which of the following is/ are correct?
1. 
2. 
Select the correct answer using the code given below:

Detailed Solution for Vector Algebra: Vector Triple Product(24 Nov) - Question 8







So both (1) and (2) are correct.

Vector Algebra: Vector Triple Product(24 Nov) - Question 9

 is equal to

Detailed Solution for Vector Algebra: Vector Triple Product(24 Nov) - Question 9


Now, eqn (i) + eqn (ii) + eqn (iii):

Vector Algebra: Vector Triple Product(24 Nov) - Question 10

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