Download the App!
Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.
Question
Answered step-by-step
Find the scalar and vector projections of $ b $ onto $ a $.
$ a = \langle -1, 4, 8 \rangle $ , $ b = \langle 12, 1, 2 \rangle $
Video Answer
Solved by verified expert
This problem has been solved!
Try Numerade free for 7 days
Like
Report
Official textbook answer
Video by Wen Zheng
Numerade Educator
This textbook answer is only visible when subscribed! Please subscribe to view the answer
Calculus 3
Chapter 12
Vectors and the Geometry of Space
Section 3
The Dot Product
Vectors
Harvey Mudd College
University of Michigan - Ann Arbor
University of Nottingham
Boston College
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.
Find the scalar and vector…
02:24
02:00
01:11
02:31
00:39
02:02
01:19
01:02
00:38
02:42
01:23
01:30
For two-dimensional vector…
01:31
01:43
$29-32$ Find the scalar an…
The problem is finding the scaler and vector projections of b unto a a is equal to negative 148 b is equal to 1212 point. So first th magnitude of a is equal to root of 1 plus 16 plus 64 point. So this is equal to 9, but we have to scatter projections of b on to a this is equal to a dot b over magnitude. To a point. This is equal to negative 12 plus 4 plus 16 over 9 point. So this is equal to 8. Over 9 point, then, the work projections of b o o a this is equal to scaler projections of b unto a times vector. A overdue of this is equal to 8 over 81 times negative 148 point. This is equal to negative 8 over 8132 over 81 and 64.
View More Answers From This Book
Find Another Textbook
01:28
'The graph of f(x) is given below. At what x value(s) is f(x) not conti…
01:21
'The entire graph of the function g is shown in the figure below: Write…
01:45
"Triangle ABC is dilated by a factor of 2 with the center of dilation a…
01:44
'A graphing calculator is recommended.Find all solutions of the equatio…
02:58
'Evaluate each logarithm using properties of logarithms and the followi…
'The time t (in years) until failure of printer is exponentially distri…
02:35
'Calculate the standard deviation & of X for the probability distri…
02:12
'The graph of ?″ is given in the figure below.(Click on the graph f…
01:39
'The number cf trades (in thousands) completed daily by an online stock…
01:04
'With the recent growth in the number of U.S. households wired for cabl…
