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If a vector has direction angles $ \alpha = \frac{\pi}{4} $ and $ \beta = \frac{\pi}{3} $, find the third direction angle $ \gamma $.

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$\gamma=\frac{\pi}{3}$

Calculus 3

Chapter 12

Vectors and the Geometry of Space

Section 3

The Dot Product

Vectors

Johns Hopkins University

Oregon State University

Baylor University

University of Nottingham

Lectures

02:56

In mathematics, a vector (from the Latin word "vehere" meaning "to carry") is a geometric entity that has magnitude (or length) and direction. Vectors can be added to other vectors according to vector algebra. Vectors play an important role in physics, engineering, and mathematics.

11:08

In mathematics, a vector (from the Latin word "vehere" which means "to carry") is a geometric object that has a magnitude (or length) and direction. A vector can be thought of as an arrow in Euclidean space, drawn from the origin of the space to a point, and denoted by a letter. The magnitude of the vector is the distance from the origin to the point, and the direction is the angle between the direction of the vector and the axis, measured counterclockwise.

02:21

If a vector has direction …

01:52

Direction Angles of a Vect…

02:05

The problem is, if a Wachter has direction and goes, how far is he? Got a pie over for Onda Beta eyes Go to Pai over three. Find the third direction angle Gamma But this problem first to a half could sign off a score plus call Sign Beta square us Sign Grandma Squire, You sick or what? In the half cousin are far Is the control consigned? Hi, we're for services. Which of two? Over to Squire and consigned. Bright eyes we call Took assign high over three. So this is one half square US co sign Guy must learn your secret one. So we have to assign Kama Square If we go to one force so consign gamma if they want to plus or minus one half angle. Gamma is equal to hi Over three war Shuhei over three

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