Question:
One of the following vector identities which is false will be
One of the following vector identities which is false will be
Updated On: Jul 6, 2022
- $\overrightarrow{P}.\overrightarrow{Q}=\overrightarrow{Q}.\overrightarrow{P}$
- $\overrightarrow{P}\times\overrightarrow{Q}=\overrightarrow{Q}\times\overrightarrow{P}$
- $\overrightarrow{P}+\overrightarrow{Q}=\overrightarrow{Q}+\overrightarrow{P}$
- $\hat{P}+\hat{Q}=\hat{Q}+\hat {P}$
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The Correct Option is B
Solution and Explanation
$\overrightarrow{P} \times \overrightarrow{Q} \neq \overrightarrow{Q} \times \overrightarrow{P}$ because $\overrightarrow{P} \times \overrightarrow{Q} = - \overrightarrow{Q} \times \overrightarrow{P}$
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Notes on Motion in a plane
Concepts Used:
Motion in a Plane
It is a vector quantity. A vector quantity is a quantity having both magnitude and direction. Speed is a scalar quantity and it is a quantity having a magnitude only. Motion in a plane is also known as motion in two dimensions.
Equations of Plane Motion
The equations of motion in a straight line are:
v=u+at
s=ut+½ at2
v2-u2=2as
Where,
- v = final velocity of the particle
- u = initial velocity of the particle
- s = displacement of the particle
- a = acceleration of the particle
- t = the time interval in which the particle is in consideration