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Find a unit vector that has the same direction as the given vector.

$ -5i + 3j - k $

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$$<\frac{-5}{\sqrt{35}}, \frac{3}{\sqrt{35}}, \frac{-1}{\sqrt{35}}>$$

00:45

Alan Ghazarians

01:06

Carson Merrill

Calculus 3

Chapter 12

Vectors and the Geometry of Space

Section 2

Vectors

Missouri State University

Harvey Mudd College

University of Michigan - Ann Arbor

Idaho State University

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.

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here we have got to find a doctor HSM Jackson, age of minus five plus three minus K. So minus five plus three J. In minus of K. Cap. So see what will happen over. Is that This is the vector salute to find the training because that means the vector which have a unit magnitude in this direction. So first of all, we'll find the magnitude of this sector. So many of these have been private school, that is 25 plus nine and plus one. So that will mean that we wrote under 35. So what do the in unit in this direction? Let's say if this is the are vectors so our doctor will be nothing. But we will just divide this money to buy or to the this vector for this. We will like minus of five upon 235. Can and plus of three upon to tender 35 Jacob and minus of once upon route under 35 of cake. Okay, so this would be the tractor. Thank you.

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