Question: Figure 1.11 c shows a parallelogram based on the two vectors A and B. (a) Show that the magnitude of the cross product of these

Figure 1.11 c shows a parallelogram based on the two vectors A and B.

(a) Show that the magnitude of the cross product of these two vectors is equal to the area of the parallelogram. 

(b) What is the angle between the cross product and the plane of the parallelogram?

Step by Step Solution

★★★★★

3.32 Rating (187 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

IDENTIFY Compare the magnitude of the cross product ABsin ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Document Format (1 attachment)

Word file Icon

60-P-M-V (153).docx

120 KBs Word File

Students Have Also Explored These Related Mechanics Questions!

Q:

Show that the magnitude of the cross product ||ru (u, v) rv (u, v)|| in Example 9 is equal to 25 |sin v|?

Q:

The two vectors A and B are drawn from a common point, and C = 1 + B. (a) Show that if C2 = A2 + B2, the angle between the vectors A and B is 90. (b) Show that if C2

Q:

The two vectors d and b in Fig. 3-30 have equal magnitudes of 10.0 m and the angles ate 1 = 30o and 2 = l05o. Find the (a) x and (b) y components of their vector sum r, (c) The magnitude of r, and...

Q:

Figure 1 diagram shows a situation of... a) Economic profit under perfect competition b) Normal profit under perfect competition c) Economic profit under monopolistic competition d) Normal profit...

Q:

QUESTION FIVE(20 Marks) A producer of a new range of energy drink introduces their product at R25 per can. After a month of sales, they introduce a special of R 40 for two cans. A month later they...

Q:

18. What do you call that graph of a mechanical system's potential energy which is easily accomplished in a one-dimensional system? A. Energy diagram B. Potential energy diagram C. Gravitational...

Q:

QUESTION FOUR(20 Marks) Assume that a perfectly competitive hand sanitiser market is in long-run equilibrium. The price of hand sanitisers is observed to increase during the COVID 19 pandemic, and...

Q:

HELP me solve the following questions. 1. This question is about some basic properties of projection operators. Remember from class that if W is a subspace of R" which has the orthonormal basis...

Q:

Chapter Thirteen A FUNDAMENTAL TOOL: VECTORS Contents 13.1 Displacement Vectors . . . . . . . . . . . . 686 Notation and Terminology . . . . . . 686 Addition and Subtraction of Displacement Vectors ....

Q:

E-Physics Tutorial Book Note: I have attached below the lesson for the 3 activities. Thank you so much for your time and effort. Activity 1. Directions: Use the right-hand rule to determine the...

Q:

Find the two numbers whose sum is 75 and difference is 15.

Q:

If $1,000 is deposited in a bank with reserve requirements equal to 100%, explain how much the bank can lend. In general, how do banks with 100% reserve requirements increase their loans? Explain.

Q:

9.106 Suppose that a random sample of 36 IQ scores is drawn from a population of IQ scores with mean 5 100 and standard deviation 5 15. a. Find the standardized statistic for x 5 97. b. Find the...

Q:

What is complex number & conjugate complex number? Prove that the sum and product of two complex number and conjugate complex number is real. 1. 2. Find the modulus and argument of the complex number...

Q:

Do you plan on studying a program in the social sciences in your post-secondary education? Tell me about it. If not directly in the social sciences, how will taking a social science course to prepare...

Q:

ChemistryBrief Explanation. Define the specific catalytic mechanisms below: a. General acid-base catalysis b. Covalent catalysis c. Metal ion catalysis d. Electrostatic catalysis Briefly explain the...

Q:

You have to redesign the interface using an iterative design approach. You will be working in groups of 2. The first partner will design the first iteration and provide it to second partner for...

Q:

How would an increase in each of the following affect the consumption function? a. Net taxes b. The interest rate c. Consumer optimism, or confidence d. The price level e. Consumers net wealth f....

Q:

The Large Binocular Telescope (LBT), on Mount Graham near Tucson, Arizona, has two 8.4-m-diameter primary mirrors. The mirrors are centered a distance of 14.4 m apart, thus producing a mirror with an...

Q:

A canvas tent has a single, tiny hole in its side. On the opposite wall of the tent, 2.0 m away, you observe a dot (due to sunlight incident upon the hole) of width 2.0 mm, with a faint ring around...

Q:

In mechanics, one often uses the model of a perfectly rigid body to determine the motion of physical objects (see, for example. Chapter 10 on rotation). Explain how this model contradicts Einstein's...

Q:

Dominair is a Low-Cost carrier operating a network of rol which the average sector length is 2000km. Dominair op a mix of leased \& owned aircraft, all fitted in a full econom layout. In H1 2044, it...

Q:

Q4) A stock is expected to pay a dividend of $1 per share in 2 months and in 5 months. The stock price is $40, and the risk-free rate of interest is 7% per annum with continuous compounding for all...

Q:

The Nutrex Corporation wants to calculate its weighted average cost of capital. Its target capital structure weights are 40 percent long term debt and 60 percent common equity. The before tax cost of...