The direction of a vector in a plane is denoted by the angle which representative line of the vector makes with?
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Answer:
A vector in a plane is represented by a directed line segment (an arrow). The endpoints of the segment are called the initial point and the terminal point of the vector. An arrow from the initial point to the terminal point indicates the direction of the vector. The length of the line segment represents its magnitude
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Answer: The direction of a vector in a plane is denoted by the angle which representative line of the vector makes with the x-axis.
Explanation:
- A Vector is any quantity whose magnitude and direction can be expressed by a directed line segment, where the segment's length stands for the magnitude and the direction it travels in space stands for the direction.
- The angle between two vectors is given by θ = cos-1 [ (a · b) / (|a| |b|) ].
- θ is the angle between two vectors.
- Vector also align itself into components of x and y axis.
- The component depends on the angle the vector subtends with either axes.
- If the Vector makes an angle ∅ with respect to x axis.
- X-component of Vector Vx = V cos∅
- Y-component of Vector Vy = V sin∅
- Where V is the magnitude of vector.
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