Math Analysis Laws, Vectors, and Polar Review
This collection covers topics such as solving triangles, finding vector components and magnitudes, resolving vectors, transforming polar to rectangular coordinates, and determining vector measures and areas in a comprehensive manner.
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Presentation Transcript
Review Math Analysis Laws, Vectors and Polar
Find the component form and magnitude of each vector if P (0,0) and Q (-4, 5)
Resolve (find the component form) vector v. magnitude of 8 and in the same direction as u =<4,-3>
Transform each polar coordinates to rectangular coordinates. Graph r = 6
If v = 2i + 4j and u = 5i 3j What is 2u?
If v = 2i + 4j and u = 5i 3j What is the measure of v
If v = 2i + 4j and w = 5i 3j What is the measure of + v w
Transform each polar coordinates to rectangular coordinates. Graph ? = 2????
Given that ? = 3,2 and ? = 4,1 determine the resultant vector. Sketch a graph of u + v
A basketball is shot at a angle with an initial velocity of 31 m/sec. ? = 55 Find the initial velocity vector of the basketball.
Transform each polar coordinates to rectangular coordinates. Graph ? = 4????
Find the component form and magnitude of each vector if A (1, -3) and B (-2, -4)
If v = 2i + 4j and w = 5i 3j What is u (unit vector in the direction of v)
A airplane is flying at an angle of South of East at 140 mph. ? = 30 Find the component form of the velocity of the airplane.
Given that ? = 1,3 , determine the resultant vector. Sketch a graph of 2u
If v = 2i + 4j and u = 5i 3j What is IIvII?
Transform each polar coordinates to rectangular coordinates. Graph ????? = 2
Given that ? = 3,2 and ? = 4,1 , determine the resultant vector. Sketch a graph of -2v+u
If v = 2i + 4j and u = 5i 3j What is IIvII + IIuII?
If v = 2i + 4j and w = 5i 3j What is the measure of w
The graph of two vectors is shown. Find the magnitude and direction of the resultant vector.
If v = 2i + 4j and w = 5i 3j What is the measure of IIwII
If v = 2i + 4j and w = 5i 3j What is u (unit vector in the direction of w)
Transform each polar coordinates to rectangular coordinates. Graph ? = ? 6
A ship is heading due north at 9 mph. The current is flowing southwest at 15 mph. Find the actual velocity and direction of the ship.
Resolve (find the component form) vector v. magnitude of 4 and ? = 45
A plane is flying at 80 mph due west. Wind is blowing at a speed of 200 mph ? = 60 at North of East. Find the actual velocity and direction of the plane.
