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The magnitudes of vectors $\vec A,\,\vec B$and$\vec C$are 3, 4 and 5 units respectively. If $\vec A + \vec B = \vec C$, the angle between $\vec A$and $\vec B$is
While travelling from one station to another, a car travels 75 km North, 60 km North-east and 20 km East. The minimum distance between the two stations is
A scooter going due east at 10 ms–1 turns right through an angle of 90°. If the speed of the scooter remains unchanged in taking turn, the change is the velocity of the scooter is
A person goes 10 km north and 20 km east. What will be displacement from initial point
Two forces ${\vec F_1} = 5\hat i + 10\hat j - 20\hat k$and ${\vec F_2} = 10\hat i - 5\hat j - 15\hat k$ act on a single point. The angle between ${\vec F_1}$and ${\vec F_2}$ is nearly
Which pair of the following forces will never give resultant force of 2 N
Two forces 3N and 2 N are at an angle $\theta$ such that the resultant is R. The first force is now increased to 6N and the resultant become 2R. The value of $\theta$ is
Three concurrent forces of the same magnitude are in equilibrium. What is the angle between the forces ? Also name the triangle formed by the forces as sides
If $|\,\vec A + \vec B\,|\, = \,|\,\vec A\,| + |\,\vec B\,|$, then angle between $\vec A$and $\vec B$ will be
The maximum and minimum magnitude of the resultant of two given vectors are 17 units and 7 unit respectively. If these two vectors are at right angles to each other, the magnitude of their resultant is

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