Open In App

Warning: foreach() argument must be of type array|object, bool given in /var/www/html/web/app/themes/studypress-core-theme/template-parts/header/mobile-offcanvas.php on line 20

Chapter 10: Q.20 (page 848)

Find the vector orthogonal to both $u=i$ and $v=2j$.

Short Answer

Expert verified

The orthogonal vector is $w=2k$.

Step by step solution

Given Information

The two vectors are $u=i$ and $v=2j$.

The result of the Cross-product of two vectors that is vector and perpendicular to both vectors.

Let the orthogonal vector be $w$.

Find the orthogonal vector

The orthogonal vector is,

$w=\begin{vmatrix}i&j&k\\1&0&0\\0&2&0\end{vmatrix}$

$w=2k$.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

If u and v are nonzero vectors in $ℝ^{3}$ , why do the equations role="math" localid="1649263352081" $u \cdot (u \times v) = 0$ and $v \cdot (u \times v) = 0$ tell us that the cross product is orthogonal to both u and v?

If u and v are vectors in $ℝ^{3}$ such that $u \cdot v = 0$ and $u \times v = 0$ , what can we conclude about u and v?

In Exercises 22–29 compute the indicated quantities when $u = (2, 1, - 3), v = (4, 0, 1), and w = (- 2, 6, 5)$

localid="1649405204459" role="math" $(u \times v) \cdot w and u \cdot (v \times w)$

If u, v and w are three vectors in $ℝ^{3}$ , which of the following products make sense and which do not?

localid="1649346164463" $(a) u \cdot (v \cdot w) (b) u \cdot (v \times w) (c) u \times (v \cdot w) (d) u \times (v \times w)$

Calculate each of the limits:

$\lim_{h \to 0} \frac{\frac{1}{1 + h} - 1}{h}$ .

See all solutions

Recommended explanations on Math Textbooks

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free

Find the vector orthogonal to both \(u=i\) and \(v=2j\).

Short Answer

Step by step solution

Given Information

Find the orthogonal vector

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Decision Maths

Theoretical and Mathematical Physics

Mechanics Maths

Applied Mathematics

Calculus

Study anywhere. Anytime. Across all devices.

Company

Product

Help