Consider the space defined by orthogonal unit vectors iand j. Let ai + bj be a vector in that space. Its direction is arctan(b/a) provided a � 0. If a � 0, the direction is pi/2 radians (or in the jdirection).
Angles are measured from the positive direction of the iaxis in the anticlockwise direction.
Use trigonometry.
That's it! You know everything there is to know about it. It's not as if you have to wander through a crowd of vectors and find one that matches the description. "Find the vector" means figure out its magnitude and direction. If the problem already gave you the magnitude and direction, then it's unlikely that it's asking you to 'find' that same vector.
Yes, a vector can be represented in terms of a unit vector which is in the same direction as the vector. it will be the unit vector in the direction of the vector times the magnitude of the vector.
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If a quantity does not have a direction, its a scalar quantity, not a vector quantity.
Divide the vector by it's length (magnitude).
Use trigonometry.
That's it! You know everything there is to know about it. It's not as if you have to wander through a crowd of vectors and find one that matches the description. "Find the vector" means figure out its magnitude and direction. If the problem already gave you the magnitude and direction, then it's unlikely that it's asking you to 'find' that same vector.
To find the direction of a vector, you can calculate the angle it makes with a reference axis, often the positive x-axis. Use trigonometry functions such as tangent or arctangent to determine this angle with respect to the chosen axis. The direction can be expressed as an angle or in unit vector notation.
find the vector<1,1>+<4,-3>
A negative vector is a vector that has the opposite direction of the original vector but the same magnitude. It is obtained by multiplying the original vector by -1. In other words, if the original vector points in a certain direction, the negative vector points in the exact opposite direction.
By finding the direction of angular velocity because it's always parallel to it.
Yes. The "direction" of the vector is along the axis of rotation.Yes. The "direction" of the vector is along the axis of rotation.Yes. The "direction" of the vector is along the axis of rotation.Yes. The "direction" of the vector is along the axis of rotation.
The vector shows the direction and magnitude of motion of an object. The direction is represented by the direction of the vector arrow, and the magnitude is represented by the length of the vector.
Yes, a vector can be represented in terms of a unit vector which is in the same direction as the vector. it will be the unit vector in the direction of the vector times the magnitude of the vector.
A vector is described by magnitude and direction (a scalar has only magnitude).
A vector has both magnitude (the size or length of the vector) and direction. These two characteristics define a vector and differentiate it from a scalar, which only has magnitude.