Question: How do you find the dot product a b of two vectors if you know their lengths and the angle between them? What if

How do you find the dot product a • b of two vectors if you know their lengths and the angle between them? What if you know their components?

Step by Step Solution

★★★★★

3.44 Rating (160 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock 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

Students Have Also Explored These Related Precalculus Questions!

Q:

How do you find the cross product a x b of two vectors if you know their lengths and the angle between them? What if you know their components?

Q:

(a) Find the dot product. (b) Find the angle between v and w; (c) State whether the vectors are parallel, orthogonal, or neither. v = 2i + 2j, w = i + 2j

Q:

(a) Find the dot product. (b) Find the angle between v and w; (c) State whether the vectors are parallel, orthogonal, or neither. v = 3i + 4j, w = -6i - 8j

Q:

These are question each picture refers to itself.The info does not carry over to the next picture.Pls Help I deleted a lot questions. Everthing is provided to solve the problems. The "Little Old Lady...

Q:

The "Little Old Lady from Pasadena\" drove her car 300 miles from Dallas to Lubbock at a rate of 80 miles per hour. Her good friend "Surfer Boy", drove his car from Dallas to Lubbock at a rate of 50...

Q:

Any triangle can be represented by three vectors u, v, w. 1) Make a sketch of an example triangle with the tails of u and at the same point and w pointing from the head of 7 to the head of u. 2) Find...

Q:

uiz 2 SHOW ALL WORK to receive credit. 1. 3 pts. Use the sum or difference identities to evaluate exactly (no decimal approximations): cos285 2. In questions 2A, 2B, 2C, and 2D below, find the exact...

Q:

The dot product is the of 2 vectors. The result is a The dot product for any two vectors is defined as the product of their magnitudes multiplied by the cosine of th angle between the two vectors...

Q:

7. The graph of a polar equation is given below. Select the polar equation for the graph. 5- 3 2 -4 2 3 4 5 O A. r = 2 sin(20) O B. r = 2 + cos(20) O C. r = 2 cos(20) O D. r = 24. A force of 5 pounds...

Q:

1. What is the difference between a vector and a scalar quantity? [2 marks] 2. Classify each measurement as a vector or a scalar. [3 marks] a. The volume of a bottle is 591 mL b. A car is travelling...

Q:

Discuss the Nested-if statement with the help of example.

Q:

A condenser, as the heat exchanger shown in Fig P6.84 brings 1 lbm/s water flow at 1 lbf/in.2 from 500 F to saturated liquid at 1 lbf/in.2. The cooling is done by lake water at 70 F that returns to...

Q:

Return on Equity of 6 0 % and a Debt Ratio of 4 0 % indicates a Return on Assets of: 1 0 % 3 6 % 6 7 % 1 0 0 %

Q:

What reader benefits are included?

Q:

Suppose that f and t are continuous on [a, b] and differentiable on (a, b). Suppose also that f(a) = g(a) and f'(x), g'(x) for a

Q:

Find the limit. Use lHospitals Rule where appropriate. If there is a more elementary method, consider using it. If lHospitals Rule doesnt apply, explain why. lim 818 (In x) X

Q:

Find the critical numbers of the function. f(x) = 2x 3 + x 2 + 8x

Q:

DJIA was 19,864.09 on Jan 31, 2017 (refer to the Excel spreadsheet DJIA_Jan31_2017.xlsx in ASSIGNMENTS on the course web site). What was the divisor value (provide the number with 6 digits after the...

Q:

A stock has an expected return of 14 percent, the risk-free rate is 6 percent, and the market risk premium is 10 percent. What must the beta of this stock be

Q:

From the bank reconciliation no entry was recorded for the interest on a note collected. This would cause: A) liabilities to be understated. B) assets to be overstated. C) liabilities to be...