Observe the following statements:A. Three vec | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Statement $A$ is true because if three vectors $\vec{a}, \vec{b}, \vec{c}$ are coplanar,then one can be written as $\vec{c} = x\vec{a} + y\vec{b}$

Vedclass · Accepted Answer

Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$

Vedclass · Answer

(B) Statement $A$ is true because if three vectors $\vec{a}, \vec{b}, \vec{c}$ are coplanar,then one can be written as $\vec{c} = x\vec{a} + y\vec{b}$ for some scalars $x$ and $y$.Statement $R$ is also true because any set of three coplanar vectors in $3D$ space is linearly dependent,as their scalar triple product is zero.However,$R$ is a general property of coplanar vectors,while $A$ is a specific condition for coplanarity. Thus,$R$ is not the correct explanation of $A$.

Observe the following statements:
$A$. Three vectors are coplanar if one of them is expressible as a linear combination of the other two.
$R$. Any three coplanar vectors are linearly dependent.
Then,which of the following is true?

Similar Questions

The materials having negative magnetic susceptibility are

Boric acid is an acid because its molecule

Using the digits $0, 2, 4, 6, 8$ not more than once in any number,the number of $5$-digit numbers that can be formed is:

Which of the following wiring diagrams could be used to experimentally determine $R$ using Ohm's law? Assume an ideal voltmeter and an ideal ammeter.

The degree and order of the differential equation of the family of all parabolas whose axis is the $x$-axis,are respectively

Vedclass Test Series

Exam Paper Generator

Online Exam Module

Observe the following statements:$A$. Three vectors are coplanar if one of them is expressible as a linear combination of the other two.$R$. Any three coplanar vectors are linearly dependent.Then,which of the following is true?