Let V = (-2,,5), W = (3,-2, 7) be two vectors of R (a) Find the...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Let V = (-2,,5), W = (3,-2, 7) be two vectors of R (a) Find the cosine of the angle a between V andW. Justify your answers (b) Determine ||V + W2 + ||V- W and 2(||V4 +W) and compare them. Justify your answers. (c) Find a united vector in the direction of V and a unit vector in the opposite direction of W. Justify your answers. (d) Determine |V +W--V-W and V. W and compare them. Justify your answers. Let V = (-2,,5), W = (3,-2, 7) be two vectors of R (a) Find the cosine of the angle a between V andW. Justify your answers (b) Determine ||V + W2 + ||V- W and 2(||V4 +W) and compare them. Justify your answers. (c) Find a united vector in the direction of V and a unit vector in the opposite direction of W. Justify your answers. (d) Determine |V +W--V-W and V. W and compare them. Justify your answers.
Expert Answer:
Related Book For
Posted Date:
Students also viewed these mathematics questions
-
Find the cosine of the angle between a and b and make a sketch. a. a = 3i + 2j, b = -i + 4j b. a = -5i - 3j, b = 2i - j c. a = (7, 0), b = (5, 1)
-
Find the cosine of the angle between a and b and make a sketch. a. a = (1, -3), b = (-1, 2) b. a = (-1, -2), b = (6, 0) c. a = (2, -1), b = (-2, -4) d. a = (4, -7), b = (-8, 10)
-
Find the cosine of the angle between the planes x + y + z = 0 and x + 2y + 3z = 1.
-
QUESTION 2 A non-symmetrical rigid jointed portal frame ABCD is fixed at A and D. It carries a trapezoidal distributed load acts along beam BC as illustrated in Figure Q2. The frame was constructed...
-
On page 457 it was shown that for a spin echo applied to an I3S spin system the amount of the singly anti-phase terms goes as cos2 (2J ) sin (2J ). Maximizing this function is equivalent to finding...
-
How does the experience of women living in the United States, Sweden, and Japan compare in terms of the following? a. Labor force participation b. Occupational segregation c. Gender wage ratio
-
The current advertising campaign for a major automobile brand will be changed if fewer than 70 percent of the consumers like it. a. Formulate the null and alternative hypotheses. b. Which statistical...
-
Here is a CPM network with activity times in weeks: a. Determine the critical path. b. How many weeks will the project take to complete? c. Suppose F could be shortened by two weeks and B by one...
-
Thornton Enterprises produces a product with fixed costs of $37,600 and variable cost of $3.30 per unit. The company desires to earn a $24,000 profit and believes it can sell 11,000 units of the...
-
After watching the Belgian / French film "Fear and Trembling" - [rental link - Rental link to the Belgian / Japanese film Prompt 1: Imagine that you took over Amelie's position in that company after...
-
There are four short-answer questions in this section . Answer all questions. Question 1 Disclosures ( Word limit: 600 words) Sisters Emily and Kate (first introduced in the analysis task case...
-
Mainstream Ltd . makes a product ping per unit direct materials, direct labor, variable production overhead and variable sales overhead are $ 1 1 , $ 3 , $ 2 , $ 2 respectively. Sales price per unit...
-
A uniform beam 3.85m long and weighing 3000N carries a 3650N weight 1.50m from the far end. It is supported horizontally by a hinge at the wall and a metal wire at the far end. What is the minimum...
-
1- What are the pros and cons of a democratic or participative style of leadership? 2- How a democratic or participative style of leadership can be improved to become an effective leader? explain
-
A 380-volt (line-to-line) 50 Hz AC source provides 50 kW at a power factor of 0.8 lagging to a three-phase load. A 60 kVA three-phase capacitor bank is in parallel with this load (a) Determine the...
-
/ Information needed to write the exam Tax calculation ( PIT ) Income up to PLN 1 2 0 , 0 0 0 - 1 2 % minus the tax - free amount Income above PLN 1 2 0 , 0 0 0 1 0 , 8 0 0 PLN 7 6 gr plus 3 2 %...
-
Describe a "Decision" made by either you or another person that you would consider one with an ethical component. Identify whether or not you agreed or disagreed with the decision and why? If it was...
-
Ex. (17): the vector field F = x i-zj + yz k is defined over the volume of the cuboid given by 0x a,0 y b, 0zc, enclosing the surface S. Evaluate the surface integral ff, F. ds?
-
A weight connected to a spring moves along the x-axis so that its x-coordinate at time t is x = sin 2t + 3 cos 2t What is the farthest that the weight gets from the origin?
-
It requires 0.05 joule (Newton-meter) of work to stretch a spring from a length of 8 centimeters to 9 centimeters and another 0.10 joule to stretch it from 9 centimeters to 10 centimeters. Determine...
-
Find the convergence set for We know that (xn / n! converges for all x. Why can we conclude that limn( xn / n! = 0 for all x? r" 2
-
The von Neumann entropy satisfies a further inequality among three systems called strong subadditivity. \({ }^{20}\) As with subadditivity, strong subadditivity is only a property of the von Neumann...
-
We had stated in this chapter that the general Rnyi entropies do not satisfy subadditivity; only the von Neumann entropy does. In Example 12.2 , we constructed an explicit counterexample for the Rnyi...
-
In our analysis of hydrogen in Chap. 9, we discussed the period of recombination, the time in the history of the universe at which protons and electrons became bound and formed neutral hydrogen. We...
Study smarter with the SolutionInn App