Recent questions tagged vectors

You start from a point and your first move is 5 m at an angle of 53.1$^{\circ}$. Your second move was 6 m along the x-axis and some unknown distance along the y-axis. Your third move was some unknown distance along the x-axis and -3 m along the y-axis. If you ended up at a point 5.39 m from where you started and 21.8$^{\circ}$ below the x-axis, calculate the unknown components of your second ($y_2$) and third ($x_3$) moves .

asked Aug 11, 2014 by balaji.thirumalai

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A jet plane takes off with a velocity of 300 km/s at a bearing of 60$^{\circ}$. A wind with a velocity of 80 km/s NW blows it off course. What is the resultant velocity of the jet plane (magnitude and the bearing)?

asked Aug 11, 2014 by balaji.thirumalai

1 answer

A hiker begins a trip by first walking 25 km southeast from her car. She stops and sets up her tent for the night. On the second day, she walks 40 km in a direction 60$^{\circ}$ north of east, at which point she discovers a forest ranger’s tower. Write the total displacement in unit vector form.

asked Aug 11, 2014 by balaji.thirumalai

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A car travels 20 km due north and then 35 km in a direction 60$^{\circ}$ west of north as shown below. Find the magnitude and direction of the car’s resultant displacement.

asked Aug 11, 2014 by balaji.thirumalai

1 answer

The angle between $(\overrightarrow{P}+\overrightarrow{Q})$ and $(\overrightarrow{P}+\overrightarrow{Q})$ is

asked Jul 17, 2014 by meena.p

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Three vectors $\overrightarrow{A},\overrightarrow{B} $ and $ \overrightarrow{C}$ satisfy the relation $\overrightarrow{A}.\overrightarrow{B}= 0$ and $\overrightarrow{A}.\overrightarrow{C}=0$ Vector $\overrightarrow{A}$ is parallel to

asked Jul 17, 2014 by meena.p

1 answer

The scalar product of two vector $\overrightarrow{A}$ and $\overrightarrow{B}$ is $5 \sqrt 3$ and the magnitude of their vector product is 5. The angle between the vectors $\overrightarrow{A}$ and $\overrightarrow{B}$ is

asked Jul 16, 2014 by meena.p

1 answer

If $\overrightarrow{A}= 5 \hat i +7 \hat j - 3 \hat k$ and $\overrightarrow{B}=2\hat i +2 \hat {j} +8 \hat {k}$ the angle between $\overrightarrow{A}$ and $\overrightarrow{B}$ is

asked Jul 16, 2014 by meena.p

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If the magnitudes of vectors $\overrightarrow{A},\overrightarrow{B},\overrightarrow{C}$ are 3,4 and $\theta$ units respectively and if $\overrightarrow{A}+\overrightarrow{B}=\overrightarrow{C},$ then the angle between $\overrightarrow{A}$ and $\overrightarrow{B}$ is

asked Jul 16, 2014 by meena.p

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An aeroplane is moving on a circular path with a speed of $250 \;kmhr^{-1}$ The change in its velocity in half revolution is

asked Jul 16, 2014 by meena.p

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The angle between two vectors $\overrightarrow{A}$ and $\overrightarrow{B}$ is $\theta$ . Resultant of these two vectors is $ \overrightarrow{R}$ Which makes an angle of $\large\frac{\theta}{2}$ with $\overrightarrow{A}$. Which of the following is true?

asked Jul 16, 2014 by meena.p

1 answer

Following sets of forces act on a body. In which case the resultant cannot be zero.

asked Jul 16, 2014 by meena.p

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Two forces have magnitudes in the ratio of $3:5$ and the angle between their direction is $60^{\circ}$ . If their resultant is $35 N$ their magnitude are

asked Jul 16, 2014 by meena.p

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A man travels 1 km east , then 5 km due south , then 2 km due east and finally 9 km due north. How far is he from the starting point ?

asked Jul 16, 2014 by meena.p

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A car travels east at a speed of $30m/s^{-1}$ . It turns left through an angle of $90^{\circ}$ and continues to travel with the same speed. What is the change in its velocity ?

asked Jul 15, 2014 by meena.p

1 answer

An aircraf flies a $400 km/hr$ in still air. A wind of $200 \sqrt 2 km/hr$ is blowing from south. A pilot wishes to travel from A to a point B north east of A .Find the direction he must steer and time of journey if $AB=1000km$

asked Jul 4, 2013 by meena.p

1 answer

A river is flowing with speed of 1km/hr.A swimmer wants to go to point C starting from point A. He swims with a speed of 5 km/hr at an angle $\theta$with respect to the river. If $AB=BC=400m$ Then

asked Jun 28, 2013 by meena.p

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A man crosses the river in shortest time at an angle $\theta=60 ^{\circ}$ to the direction of flow of water. If the speed of water is $v_w=4\; km/hr$ find the speed of man.

asked Jun 20, 2013 by meena.p

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