All Courses
Get the App Signup / Login
Sign in Open App
JEE Exam  >  JEE Tests  >  Mathematics (Maths) for JEE Main & Advanced  >  Test: Cross Product - JEE MCQ

Test: Cross Product - JEE MCQ


Test Description

5 Questions MCQ Test Mathematics (Maths) for JEE Main & Advanced - Test: Cross Product

Test: Cross Product for JEE 2024 is part of Mathematics (Maths) for JEE Main & Advanced 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.
Solutions of Test: Cross Product questions in English are available as part of our Mathematics (Maths) for JEE Main & Advanced for JEE & Test: Cross Product solutions in Hindi for Mathematics (Maths) for JEE Main & Advanced course. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free. Attempt Test: Cross Product | 5 questions in 10 minutes | Mock test for JEE preparation | Free important questions MCQ to study Mathematics (Maths) for JEE Main & Advanced for JEE Exam | Download free PDF with solutions
Test: Cross Product - Question 1
Save

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
Save

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,

1 Crore+ students have signed up on EduRev. Have you? Download the App
Test: Cross Product - Question 3
Save

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
Save

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
Save

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

209 videos|443 docs|143 tests
Join Course
Information about Test: Cross Product Page
In this test you can find the Exam questions for Test: Cross Product solved & explained in the simplest way possible. Besides giving Questions and answers for Test: Cross Product, EduRev gives you an ample number of Online tests for practice

Top Courses for JEE

Download as PDF

Top Courses for JEE

Important Questions for Cross Product

Find all the important questions for Cross Product at EduRev.Get fully prepared for Cross Product with EduRev's comprehensive question bank and test resources. Our platform offers a diverse range of question papers covering various topics within the Cross Product syllabus. Whether you need to review specific subjects or assess your overall readiness, EduRev has you covered. The questions are designed to challenge you and help you gain confidence in tackling the actual exam. Maximize your chances of success by utilizing EduRev's extensive collection of Cross Product resources.

Cross Product MCQs with Answers

Prepare for the Cross Product within the JEE exam with comprehensive MCQs and answers at EduRev. Our platform offers a wide range of practice papers, question papers, and mock tests to familiarize you with the exam pattern and syllabus. Access the best books, study materials, and notes curated by toppers to enhance your preparation. Stay updated with the exam date and receive expert preparation tips and paper analysis. Visit EduRev's official website today and access a wealth of videos and coaching resources to excel in your exam.

Online Tests for Cross Product Mathematics (Maths) for JEE Main & Advanced

Practice with a wide array of question papers that follow the exam pattern and syllabus. Our platform offers a user-friendly interface, allowing you to track your progress and identify areas for improvement. Access detailed solutions and explanations for each test to enhance your understanding of concepts. With EduRev's Online Tests, you can build confidence, boost your performance, and ace Cross Product with ease. Join thousands of successful students who have benefited from our trusted online resources.
© EduRev
Education Revolution
Follow Us
Signup on EduRev and stay on top of your study goals
10M+ students crushing their study goals daily