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Test: Cross Product - JEE MCQ


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5 Questions MCQ Test Mathematics (Maths) Class 12 - Test: Cross Product

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

If | a | = 2, | b | = 5 and | a × b | = 8, thencan be equal to

Detailed Solution for Test: Cross Product - Question 1

Test: Cross Product - Question 2

If  are unit vectors along X-axis, Y-axis and Z-axis respectively, then

Detailed Solution for Test: Cross Product - Question 2

As we know that,

Test: Cross Product - Question 3

The area of triangle whose adjacent sides are is :

Detailed Solution for Test: Cross Product - Question 3

Area of triangle = ½(a * b)
a = (1, 0, -2)   b = (2, 3, 1)
= i(0 + 6) + j(-4 - 1) + k(3 - 0)
= 6i - 5j + 3k
|a * b| = (36 + 25 + 9)½
|a * b| = (70)½
Area of triangle = ½(a * b)
= [(70)½]/2

Test: Cross Product - Question 4

The value of  is:

Detailed Solution for Test: Cross Product - Question 4

 i.(j * k) + j.(k * i) + k(i * j)
= i.(i) + j.(j) + k.(k)
= 1 + 1 + 1 
= 3

Test: Cross Product - Question 5

The area of parallelogram whose sides areis:​

Detailed Solution for Test: Cross Product - Question 5

A = {(1, -3, 4)}    B = {(3, 1, -2)}
A * B = {(i^(6-4) - j^(-2 -12) + k^ (1+9)} 
= 2i^ + 14j^ + 10k^
Area = [(2)2 + (14)2 + (10)2]½
= (300)½
= 10(3)½ sq unit

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