Explanation Given: The diagram: Proof: Let the two vectors be: v = v 1 i + v 2 j + v 3 k , w = w 1 i + w 2 j + w 3 k Let us represent the cross product of these two vectors: v × w = [ i j k v 1 v 2 v 3 w 1 w 2 w 3 ] = ( v 2 w 3 −

4th Edition

ISBN: 9781319434526

Author: Rogawski

Publisher: MAC HIGHER

See similar textbooks

Concept explainers

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on …

Videos

Question

Chapter 13.4, Problem 59E

To determine

To prove:

That the absolute value of the k component of the product $v \times w$ is equal to area of parallelogram spanned by the projections $v_{o} and w_{o}$ onto the x-y plane.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 13.4, Problem 58E

Chapter 13.4, Problem 60E

Students have asked these similar questions

4. Use method of separation of variable to solve the following wave equation მłu J²u subject to u(0,t) =0, for t> 0, u(л,t) = 0, for t> 0, = t> 0, at² ax²' u(x, 0) = 0, 0.01 x, ut(x, 0) = Π 0.01 (π-x), 0

Solve the following heat equation by method of separation variables: ди = at subject to u(0,t) =0, for -16024 ძx2 • t>0, 0 0, ux (4,t) = 0, for t> 0, u(x, 0) = (x-3, \-1, 0 < x ≤2 2≤ x ≤ 4.

ex 5. important aspects. Graph f(x)=lnx. Be sure to make your graph big enough to easily read (use the space given.) Label all 6 33

Chapter 13 Solutions

CALCULUS 4E (LL) W/ ACHIEVE ACCESS

Ch. 13.1 - Prob. 1PQ Ch. 13.1 - Prob. 2PQ Ch. 13.1 - Prob. 3PQ Ch. 13.1 - Prob. 4PQ Ch. 13.1 - Prob. 5PQ Ch. 13.1 - Prob. 6PQ Ch. 13.1 - Prob. 1E Ch. 13.1 - Prob. 2E Ch. 13.1 - Prob. 3E Ch. 13.1 - Prob. 4E

Knowledge Booster

$Calculus$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

To prove: That the absolute value of the k component of the product v × w is equal to area of parallelogram spanned by the projections v o and w o onto the x-y plane.

Solution Summary: The author explains that the absolute value of k component of the product v w is equal to area of parallelogram spanned by the projections

Concept explainers

Videos

To prove:

That the absolute value of the k component of the product $v \times w$ is equal to area of parallelogram spanned by the projections $v_{o} and w_{o}$ onto the x-y plane.

Want to see the full answer?

Chapter 13 Solutions

To prove: That the absolute value of the k component of the product v × w is equal to area of parallelogram spanned by the projections v o and w o onto the x-y plane.

Solution Summary: The author explains that the absolute value of k component of the product v w is equal to area of parallelogram spanned by the projections

Concept explainers

Videos

To prove: That the absolute value of the k component of the product v×w is equal to area of parallelogram spanned by the projections vo and wo onto the x-y plane.

Want to see the full answer?

Chapter 13 Solutions

To prove:

That the absolute value of the k component of the product $v \times w$ is equal to area of parallelogram spanned by the projections $v_{o} and w_{o}$ onto the x-y plane.