NEET Chemistry MCQs

If three vectors $\vec{A} = \hat{i} + 2\hat{j} - \hat{k}$, $\vec{B} = -\hat{i} + \hat{j} + \hat{k}$, and $\vec{C}$ form a right-angled triangle such that $\vec{C}$ is the hypotenuse, then a possible value of $\vec{C}$ is:

A boat crosses a river flowing at 4 m/s. If the boat's speed in still water is 3 m/s and it heads perpendicular to the flow, what is the boat's resultant speed relative to the bank?

A vector $\mathbf{A}$ has components (3, 4). What is its magnitude?

A car travels 3 km east and then 4 km north. What is the magnitude of its displacement from the starting point?

Two forces of 3 N and 4 N act on a point at right angles to each other. According to the triangle law of vector addition, what is the magnitude of their resultant?

Three vectors $\vec{A}$, $\vec{B}$, and $\vec{C}$ have magnitudes 3, 4, and 5 units respectively. If $\vec{A} + \vec{B} = \vec{C}$, what is the angle between $\vec{A}$ and $\vec{B}$?

A boat crosses a river flowing at $5\, m/s$. The boat's speed in still water is $10\, m/s$. If the boat heads perpendicular to the river flow, what is the boat's resultant velocity relative to the shore?

Two forces of magnitudes 3 N and 4 N act at a point at right angles to each other. According to the triangle law of vector addition, what is the magnitude of their resultant?

If two vectors of 3 N and 4 N are acting at right angles to each other, what is the magnitude of their resultant?

Two forces of 6 N and 8 N act at a point at right angles to each other. What is the magnitude of their resultant force?