Vector Component

Q.

Can a vector have zero component along a line and still have non-zero magnitude?

1. True

2. False

3. Can't say
4. Only if the vector is 2d

Q.

Find component of vector $\overrightarrow{A}$ along the direction of $\overrightarrow{B}$ A||B and in perpendicular direction of $\overrightarrow{B}$ $A\perp B$.

1. A||B = 5;

2. A||B =

3. A||B = -5;

4. A||B =

Q.

What angle does a vector make with the positive x-axis if it has a component of 80 units on the negative x-axis and 60 units on the positive y-axis?

1. 

2. 

3. 

4. 

Q.

Given the magnitude of vector A to be 6 units. Find the component of A along the x-axis?

1. 

2. 

3. 

4. 

Q.

Find component of vector $\overrightarrow{A}$ along the direction of $\overrightarrow{B}$ i.e. A||B and in perpendicular direction of $\overrightarrow{B}$ that is $A_{{\perp }_B}$.

1. A||B =

2. A||B =

3. A||B =

4. A||B =

Q.

There is an aeroplane taking off at the airport , at say. 800 Km/ h . A dog on the runway is trying to chase the shadow of the Aeroplane. Take the time to be exactly noon so that the shadow falls Vertically below the plane . How fast must you run to keep up with the shadow?

1. 800 km/h

2. More than 800 km/h

3. Less than 800 km/h

4. Can't say as it depends on the angle that the plane is making with the horizontal

Q.

A heavy piece of machinery is raised by sliding it a distance of d=10m along a plank oriented at an angle, $\theta ={60}^{\circ }$ as shown in figure. How far has it moved vertically and horizontally?

1. x-5m, y-8.66m

2. x-4.5m, y-8.66m

3. x- 8.66m, y- 5m

4. x - 5m, y- 9m

Q.

What is the minimum speed I need to cross the river which is flowing in the west direction at 3 Km/hr? Beware of the crocodiles.

1. I don't know

2. Exactly

3. Velocity just greater than

4. Velocity Just greater than

Q.

What direction must you swim at to cross the river in minimum time given the crocodiles have left and your maximum velocity is $5\frac{Km}{hr}$ and the velocity of river is $3\frac{Km}{hr}$ in the west direction.

1. East

2. North

3. west

4. North east

Q.

The component of vector $A=2\hat{i}+3\hat{j}$ along the vector
$\hat{i}+\hat{j}$ is

1. $5$

2. $\frac{5}{\sqrt{2}}$

3. $10\sqrt{2}$

4. $5\sqrt{2}$