Multivariable Calc
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18 Terms
What does this mean?
The set of x, y, and z such that x, y, and z are elements of the set of all real numbers
What is the distance formula in 3 dimensions?
Why are the sphere/circle formulas intuitive?
What is a displacement vector, its initial point, and its terminal point?
What is the Parallelogram Law?
What do you call the coordinates of a vector?
the components of the vector
Describe these vectors in relation to one of them
What is a position vector?
What is intuitive about how we add vectors?
How can a vector be expressed in terms of basis vectors?
How to find the unit vector that has the same direction as some vector a:
What is the resultant force?
What are the properties of the dot product?
How can the dot product be conceptualized?
two vectors’ (that start at the origin) lengths multiplied together, times the cosine of the angle between them, is the dot product.
Why is it intuitive that two vectors are orthogonal if their dot product is 0?
When do two vectors point in the same vs opposite general direction? When do they point in the exact same vs opposite direction?
What are direction angles and direction cosines?
the direction cosines of are the components of the unit vector in the direction of
What is scalar projection of b onto a (also called component of b along a)?