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JEE Exam  >  JEE Tests  >  Mathematics (Maths) Class 12  >  Test: Scalar Product Of Two Vectors - JEE MCQ

Test: Scalar Product Of Two Vectors - JEE MCQ


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5 Questions MCQ Test Mathematics (Maths) Class 12 - Test: Scalar Product Of Two Vectors

Test: Scalar Product Of Two Vectors for JEE 2024 is part of Mathematics (Maths) Class 12 preparation. The Test: Scalar Product Of Two Vectors questions and answers have been prepared according to the JEE exam syllabus.The Test: Scalar Product Of Two Vectors MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Scalar Product Of Two Vectors below.
Solutions of Test: Scalar Product Of Two Vectors questions in English are available as part of our Mathematics (Maths) Class 12 for JEE & Test: Scalar Product Of Two Vectors solutions in Hindi for Mathematics (Maths) Class 12 course. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free. Attempt Test: Scalar Product Of Two Vectors | 5 questions in 10 minutes | Mock test for JEE preparation | Free important questions MCQ to study Mathematics (Maths) Class 12 for JEE Exam | Download free PDF with solutions
Test: Scalar Product Of Two Vectors - Question 1
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If   are any two vectors, then

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Test: Scalar Product Of Two Vectors - Question 2
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The angle between the vectors is:    is :

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a = 6i - 3j + 2k      b = 2i + j - 2k
a.b = 12 - 3 - 4 = 5
|a| = [(6)2 + (-3)2 + (2)2]1/2 
|a| = [36 + 9 + 4]½
|a| = (49)½
|a| = 7
|b| = [(2)2 + (1)2 + (-2)2]½
|b| = [4 + 1 + 4]½
|b| = 3
Cosθ = (a.b)/|a||b|
= 5/(7)(3)
= 5/21
θ = cos-1(5/21)

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Test: Scalar Product Of Two Vectors - Question 3
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If  are two vectors, such that , then = ……​

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 |a - b|2 = |a|2 + |b|2 - 2|a||b|
|a - b|2  = (3)2 + (2)2 - 2(5)
|a - b|2  = 9 + 4 - 10
|a - b|2  = 3 
|a - b|   = (3)½.

Test: Scalar Product Of Two Vectors - Question 4
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The projection of the vector  on the vector is:​
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Projection = (A.B)/|B|
= [(i + 2j + k) . (2i + 3j + 2k)]/[(2)2 + (3)2 + (2)2]½
= (2 + 6 + 2)/[4 + 9 + 4]½
= 10/(17)1/2

Test: Scalar Product Of Two Vectors - Question 5
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The angle between two non-zero vectors  is given by
Detailed Solution for Test: Scalar Product Of Two Vectors - Question 5

A sequence is a function whose domain is the set of natural numbers or a subset of the natural numbers. We usually use the symbol an to represent a sequence, where n is a natural number and an is the value of the function on n. A sequence may be finite or infinite.

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