Terminology Question (drawing a vector triangle)

In summary, when drawing vectors at a specific angle, such as 30 degrees west of north, start with your principal direction (in this case, north) and then move in the specified direction (30 degrees west). To find the exact angle, think of the principal direction as a clock, with north being 12. Then, for example, if the question is asking for 30 degrees west of north, imagine moving from north to 11 on the clock, which would be equivalent to 330 degrees. This method can be applied to any given principal direction and angle. Remember to keep in mind whether the secondary direction is clockwise or counterclockwise relative to the principal direction, and to add or subtract the specified angle accordingly.
  • #1
DLxX
58
0
Im getting questions wrong because of the way the questions are written.

How do you draw the vectors when the question says 30 degrees west of north? Like the picture attached?

Btw don't mind the filename I named it incorrectly.
 

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  • #2
Well, the attachment isn't approved yet, so I can't look at your picture, but I can explain it in words for you. In your example, 30 degrees west of north, you start with north. Then go 30 degrees west of that. If you think of north as 12 on a clock, 30 degrees west of north puts you at 11:00.
 
  • #3
They are giving you a principal direction and orienting the vector relative to your principle direction.

In this case your principle direction is North (0 or 360 degrees). You're 30 degrees West of North, so you're moving counter clockwise. That's -30 degrees relative to North. That makes your direction 330 degrees.

Another example: 40 degrees South of East. East is your principle direction (90 degrees). You're 40 degrees South of your principal direction. Going from East to South is clockwise or positive. That's +40 degrees to your 90 degrees, or 130 degrees.

In other words, turn your principal direction into degrees (0/360 for North, 90 for East, 180 for South, 270 for West).

Figure out if your secondary direction is clockwise (positive) or counter-clockwise (negative) relative to your principal direction.

Add to your prinicipal direction (keeping in mind adding a negative number is the same as subtraction).
 

FAQ: Terminology Question (drawing a vector triangle)

What is a vector triangle?

A vector triangle is a representation of vectors in a geometric form, where each side of the triangle represents a vector and the angles between the sides represent the direction and magnitude of the vectors.

How is a vector triangle drawn?

A vector triangle is drawn by selecting a starting point and drawing the first vector from that point. The second vector is then drawn from the endpoint of the first vector, and the third vector is drawn from the endpoint of the second vector. This forms a closed triangle, with each side representing a vector.

What is the significance of a vector triangle in physics?

In physics, a vector triangle is used to represent the different forces acting on an object. The sides of the triangle represent the magnitude and direction of the forces, and the closed triangle represents the equilibrium state of the object.

How do you calculate the resultant of a vector triangle?

To calculate the resultant of a vector triangle, you can use the Pythagorean theorem to find the magnitude of the resultant vector and use trigonometric functions to determine its direction. Alternatively, you can use vector addition to add the individual vectors together to find the resultant vector.

What are some applications of vector triangles?

Vector triangles have various applications in physics, engineering, and mathematics. They are used to solve problems involving forces, velocities, and accelerations. They are also used in navigation, computer graphics, and machine learning algorithms.

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