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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.
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How do you find the magnitude and the direction of a vector?
Use trigonometry.
How do you find a vector if you have itsmagnitude and its direction given?
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.
Can a vector be represented in terms of unit 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.
What is the direction of the resulting vector if vector of 2 units North is added to a vector of 2 units South?
4
Can you graphically represent a vector which has magnitude but no direction?
If a quantity does not have a direction, its a scalar quantity, not a vector quantity.
