True-False Quiz Questions 8 and 9: Scalar Multiplication for Dot Product and Cross Product https://youtu.be/-YuGH9d41pw

In this video I show that the dot product and cross product have a basic arithmetic multiplication property when multiplied by a scalar.

True-False Quiz Questions 5 to 7: Rearranging Vectors in the Dot and Cross Product https://youtu.be/bdRwfdjIeOE

In this video I rearrange the vectors in the dot product and cross product and show that we get the same answer for the dot product but the negative value for the cross product.

True-False Quiz Questions 1 to 4: False Statements about Vectors, Dot & Cross Products https://youtu.be/12t55GJHhxo

In this video I go over the first 4 questions of the True-False Quiz on the Vectors and the Geometry of Space Chapter. These 4 questions are all false, and I discuss why for each question.

#math #science #physics #geometry #education

Vectors and the Geometry of Space: True-False Quiz https://youtu.be/8q0up5ccko8

In this video I go over the end-of-chapter True-False Quiz as a review for the Vectors and the Geometry of Space chapter.  There are 22 questions in total covering vectors, cross products, dot products, lines, surfaces, and much more.

An Elusive Limit Question 6: Subtracting Nearly Identical Numbers can BREAK Calculators! https://youtu.be/GEfzOVaPwAE

In this video I explain that the reason calculators gave an unclear limit for the complicated trigonometric function is because every term was nearly identical, to the point where subtracting them resulted in a difference too small for the precision of most calculators. 

An Elusive Limit Question 4-5: Evaluating the Limit using Taylor Series (and Wolfram Alpha) https://youtu.be/GEfzOVaPwAE

In this video I go over the earlier trigonometric (and inverse trigonometric) limit and solve it by writing the numerator and denominator as Taylor series. 

#math #science #education #calculus #WolframAlpha