Question

Problem 3 - Find the dot product between vectors A and B where Pa Worksheet 6 Vector Dot and Cross Products Problem 4 - Use the vector dot product to find the angle between vectors A and B where: Defining the Vector Cross Product: It turns out that there are some weird effects in physics that require us to invent a new kind of vector multiplication. For example, when a proton moves through a magnetic field, the force on the proton from the magnetic field is perpendicular to both the velocity of the particle and the direction of the magnetic field it is moving through. To model this behavior in nature, we define the vector cross product as follows If _AXģ then : C perpendicular to A and C perpendicular to B C-ABsin(0) where 0 is the angle between A and B Any two vectors can be used to define a plane in space. Saying that C is perpendicular to both A and B does not tell us which way it is perpendicular. We have to define a sign convention. The convention we choose is that if when looking down at the plane containing the two vectors A is less than 180 degrees clockwise of the vector B, then the cross product C points up out of the plane you are looking down at. Your professor will explain this sign convention in detail (it is called The Right Hand Rule) Problem 5- Find all nine of the possible vector cross products between the three unit vectors Do this by applying the Right Hand Rule as well as: C -ABsin(0) 1×k

Answer 1

So→ =2-77 8 +88 3.141657

1*) = b s RD So Θ= by Si Similan JJSino KX K
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