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What is the angle between rectangular componenet of a vector?

If the components are in the i and j directions, for example, then if the vector is mi + nj then the coefficients m and n can be used to find the magnitude and direction.The magnitude is the hypotenuse of a right triangle with legs m and n, so it is sqrt(m² + n²).


How to calculate the direction of a vector?

To calculate the direction of a vector, you can use trigonometry. Find the angle the vector makes with the positive x-axis using the arctangent function. This angle represents the direction of the vector in relation to the x-axis.


How can you calculate the index of refraction of a material based on the critical angle?

You can calculate the index of refraction of a material based on the critical angle using Snell's Law. The equation is n = 1 / sin(critical angle), where n is the index of refraction of the material. The critical angle is the angle at which light is refracted along the boundary between two materials, typically from a more optically dense material to a less dense one.


How do you calculate the weight of ISA 50x50x6mm angle?

To calculate the weight of an ISA 50x50x6mm angle, you can use the formula: Weight = Area x Length x Density. First, calculate the cross-sectional area of the angle (50x6 = 300 square mm), then convert it to square meters. Multiply the area by the length of the angle in meters and the density of the material (e.g., mild steel density is approximately 7850 kg/m^3) to determine the weight in kilograms.


Is cos function and pythagorean theroem used to calculate the magnitude and direction of the resultant vector?

No. The "resultant vector" will be in rectangular coordinates (x and y coordinates). You indeed use the Pythagorean theorem to calculate its magnitude. For the direction, however, you use the arc-tangent of (y / x). Since different angles have the same tangent, you also have to take into account the quadrant of the angle. For example, if both x and y are negative, then you have to add 180 degrees (or pi radians) to the angle which your calculator gives you. You can save yourself all this trouble by using the rectangular-to-polar conversion, available on most scientific calculators. Check your calculator's manual for details.