# Tagged Questions

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### Heading vector from angle (generated by trig) does not have expected result

I am creating a game and when the player taps on the screen, it should generate a ‘pulse’ effect, pushing away the player. For example, the heading vector should have negative x and y values when to ...
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### Find the resulting speed and direction. Trig Problem involving resultant and vectors.

A barge is pulled by two tugboats. The first tugboat is traveling at a speed of 15 knots with heading 130°, and the second tugboat is traveling at a speed of 11 knots with heading 190°. Find the ...
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### Problem involving Bearing, Heading, and True Course.

A plane is flying with an airspeed of 170 miles per hour and heading 150°. The wind currents are running at 30 miles per hour at 170° clockwise from due north. Use vectors to find the true course and ...
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### Calculating accelerometer vector when tilted

I'm trying to develop a 3D position estimation program using an xyz accelerometer. Ignoring the massive error introduced by double integration of the acceleration to get displacement, I have another ...
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### Get Attitude from 2-axis vector

I've built a quadrotor but my 3-axis accelerometer has a fault, the Z-Axis doesn't work. I would normally get my attitude with the following code pitch = atan2(accel_X, accel_Z)*RadToDeg; roll= ...
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### How to find optimal perpendicular axis of rotation vector?

I am drawing lines on the screen. Each line has a point (x,y,z) and a direction (u,v,w). I want to draw arrow heads on these ...
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### How to draw arrows by rotating lines in 3d space?

I am trying to figure out direction vectors of the arrowheads of an arrow. Basically I'm given a normalized direction vector ...
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### Is there a Taylor series for vector cross product?

I have this equation, where $u,v,w,a,b,Ɵ$ are constants. The RHS comes from the Geometric definition of the LHS $(u,v,w)(a,b,c)=||(u,v,w)||||(a,b,c)||\cos(\theta)$ Expanding the 2-norms ...
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### A computation with vectors

I'm going through these lecture notes, and I don't understand how one of the example problems was solved. Can anyone show me a step by step solution? Question: Suppose a Canada goose is flying ...
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### Finding a result vector from 2 vectors without cross product

If I have 2 lines with its symmetric equations I can get the vectors U and V of each line, and with a cross product I can get the vector R; but how can I get the vector R without a cross product?
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### Tricky Lighthouse (well, tricky for me (a fool))— Finding Maximum Angle of Elevation

Here's the problem I'm stuck on. I'm honestly not even sure what it's asking. "The axis of a light in a lighthouse is tilted. When the light points east, it is inclined upward at 1 degree(s). When it ...
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### How to find angle of motion in frictionless space based on vx and vy

This might, perhaps, be more suited to Stack Overflow or the Gaming section, but since it's math that is above my head, I thought I'd come straight here for it. I'm making a space game. So far I ...
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### quaternion to angle

Alright, so this is how I am doing it: ...