SATHEE: Kinematics Question 76

Kinematics Question 76

Question: Assertion : Vector addition is commutative. Reason : $(\vec{A} + \vec{B}) \neq (\vec{B} + \vec{A}) .$

Options:

A) If both assertion and reason are true and the reason is the correct explanation of the assertion.

B) If both assertion and reason are true but reason is not the correct explanation of the assertion.

C) If assertion is true but reason is false.

D) If the assertion and reason both are false.

Show Answer

Answer:

Correct Answer: A , C

Solution:

$\vec{A} . \vec{B} = \vec{B} . \vec{C}$
therefore $A B \cos θ_{1} = B C \cos θ_{2}$ A = C, only when $θ_{1} = θ_{2}$

So when angle between $\vec{A}$ and $\vec{B}$ is equal to angle between $\vec{B}$

and $\vec{C}$ only then $\vec{A}$ equal to $\vec{C}$

Since vector addition is commutative, therefore $\vec{A} + \vec{B} = \vec{B} + \vec{A} .$

Play Store

App Store

Ask SATHEE

Welcome to SATHEE !
Select from 'Menu' to explore our services, or ask SATHEE to get started. Let's embark on this journey of growth together! 🌐📚🚀🎓

I'm relatively new and can sometimes make mistakes.
If you notice any error, such as an incorrect solution, please use the thumbs down icon to aid my learning.
To begin your journey now, click on "I understand".

Kinematics Question 76

Question: Assertion : Vector addition is commutative. Reason : (A→+B→)≠(B→+A→).

Options:

Answer:

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

Menu

Question: Assertion : Vector addition is commutative. Reason : $(\vec{A} + \vec{B}) \neq (\vec{B} + \vec{A}) .$