Question:

The component of a vector $\vec{r}$ along $x$-axis will have maximum value if

Updated On: May 30, 2022
  • $\vec{r}$ is along positive $y$ -axis
  • $\vec{r}$ is along positive $x$ -axis
  • $\vec{r}$ makes an angle of $45^?$ with the $x$-axis
  • $\vec{r}$ is along negative $x$ -axis
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The Correct Option is B

Solution and Explanation

The component of $r =E \cos \theta$
which is maximum when $\theta=0^{\circ}$
So, $r$ will be along positive $X$ -axis for maximum value.
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Concepts Used:

Vector Basics

What is a Vector Quantity?

Vector Quantity is a physical quantity that is specified not only by its magnitude but also by its direction. A vector quantity whose magnitude is equal to one and has direction is called a unit vector.

Examples of vector quantity are-

  • Displacement
  • Linear momentum
  • Momentum
  • Acceleration
  • Force
  • Electric field
  • Angular velocity
  • Polarization