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18 Cards in this Set
- Front
- Back
- 3rd side (hint)
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What is the vector equation of a line? |
R equals are not plus v times t. Or... are not equals x y z plus tee times ABC. |
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What is the symmetric equation of a line parallel to Vector ABC? |
X minus X not over "A" , = y minus y not over b, = z minus z not over c. |
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What is vector v? |
V = A B C. A vector parallel to a line. |
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What is vector N? |
A vector normal. N = "a" , b, c. A vector perpendicular to a plane. |
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In symmetric equations, what are "a" B and c? What is x not, y not, and z not? |
"a" B and c are the components of a vector parallel to the line. X not, y not, and z not are the coordinates of a point on the line. |
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What is the parametric form of an equation? |
X = x not + "a" times t, y = y not + b times t, z = z not + c times t. |
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Planes are represented by what? |
A point on the plane and a vector normal to the plane. |
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What's the scalar equation of a plane through point P-naught, and perpendicular to vector N. |
"a" times x minus X not, plus b times y minus y not, plus c times z minus z not = zero |
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What happens when you cross two normal vectors of two planes that intersect? |
You get a vector that is parallel to the line of intersection of the two planes. N (cross) N = V |
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What is the Dot product formula? |
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Cross product formula? |
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2 vectors are parallel if? |
Their cross product = 0. |
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The magnitude of a x b =? |
the area of the parallelogram made by a and b. |
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What is torque? |
The cross product of the position and force vectors acting on the body. |
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What's the projection of b onto a? |
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What's the scalar projection of b onto a? |
No direction |
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What's a quick way to check if two vectors are parallel? |
See if they're scalar multiples of each other. |
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Two vectors are perpendicular if? |
Their Dot product = 0 |
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