Calculus III: The Dot Product (Level 1 of 12) | Geometric Definition

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This video goes over the dot product also known as the scalar product. This video covers the geometric interpretation of the dot product by going over 5 distinct cases where the angle between the vectors varies.

#calculus3 #math #school

0:00 Introduction
1:47 Scalar Multiplication Review
2:16 Dot Product (Scalar Product)

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How much of A contributes to B. And how much of B contributes to A.
So when they are perpendicular...none of A is in B = 0
Makes so much sense geometrically.

 How incredibly clear this is!!!! You are an amazing teacher. Methodical, step-by-step and taking nothing for granted concerning prior knowledge. EXCELLENT!!!!

 It has also demonstrated to me...after watching a number of videos by others on the dot product, just how mediocre and confusing most teachers are. My opinion.

jimkeller
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0:00 Introduction
1:47 Scalar Multiplication Review
2:16 Dot Product (Scalar Product)

MathFortress
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Terrific lecture! Thank you for sharing additional information on the dot product of two vectors particularly the 5 dot product cases.

rajendramisir
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Superb Nice.... Keep it up sir.... Thanks for the video....

rajas
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Your video is very helpful. Thanks for help. God bless you.

tasninnewaz
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This makes so much sense geometrically now that I've seen this video.

inquisitive
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How come if vectors lay on the same line their magnitudes can be multiplied as we do with real numbers?

pavelkoprivec