Calculating Vector \overline{G} in Spherical Coordinates at Point (3,2,6)

AI Thread Summary
To calculate the vector \overline{G} in spherical coordinates at the point (3,2,6), it is essential to determine the radius R from the origin, which is approximately 7.14. The vector \overline{G} is defined as \overline{G}=\frac{4}{R}\hat{R}, where \hat{R} indicates the direction from the origin to the point. The discussion highlights the importance of recognizing that a vector includes both magnitude and direction, allowing it to be plotted on a graph. The confusion arises from the perception that the vector lacks direction, but it indeed points from the origin to the specified coordinates. Understanding these concepts is crucial for accurately representing vectors in spherical coordinates.
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I can't muster my mind around this.

A vector is given in spherical coordinate system: \overline{G}=\frac{4}{R}\hat{R}

Find \overline{G} at point (3,2,6) and the magnitude of the y component at the point.

Can you actually plot this vector on a graph at the point? The vector only specifies a length with no direction.
 
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iflabs said:
I can't muster my mind around this.



Can you actually plot this vector on a graph at the point? The vector only specifies a length with no direction.

But you do have a direction. From the origin to the point given...
 
In any coordinate system, the vector corresponding to a single point is the vector from the origin to the point, as berkeman said.
 
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