Consider a mirror lying along the x-axis in R2. A laser starts at the point (−2, 6) and is fired in the direction of ⟨4, −3⟩. The beam travels until it hits the mirror, where it reflects off the mirror and then travels until it hits a wall on the line x = 20. (a) Give a parametrization for the initial path of the laser. (b) At what point does this beam hit the mirror? (c) Give a parametrization for the path of the reflected beam. (d) At what point does this beam hit the wal

Q: H.W. Find the resultant of the three displacement vectors in the drawing by means of the components…

A:

Q: Vector I is 20.00 km southeast, Z is 14.00 km west, A is 12.50 km 35° W of S, and L is 15.00 km 58°…

A: a) So, the x component of R is  Rx=Ix+Zx+Ax+LxRx=20cos45+-14+-12.5 sin…

Q: 7). A particle is moving in three dimensions. Its position vector r is given by r[t] = -4 i + (6- 7…

A: The velocity vector is produced by taking the derivative of position vector and acceleration vector…

Q: A student takes a much needed break from her studies and wanders around in the Arnold Arboretum.…

A:

Q: Two vectors, r and s lie in the xy plane. Their magnitudes are 3.46 and 3.57 units, respectively,…

A: Two vectors can be multiplied in two ways, as a scalar product and as a vector product. In a scalar…

Q: Given the vectors Ā = (-2î + ſ) m and B = (4î – i) m. The direction of the resultant vector R = Ả +…

A: Given: A→=-2i^+j^B→=4i^-j^

Q: find its magnitude and direction (r,θ)

A: The given vector can be represented as, Here, rx and ry represent the vector’s x-component, and the…

Q: On a plane flat surface with "up" given as +y and "right" given as +x, we add two vectors. One of…

A: Given data: One vector has components = (3,4) Second vector has components = (-1,-4) Required:…

Q: Vectors A and B both lie in the x-y plane. Vector A is given by a=4i-7j and vector B has a magnitube…

A: Given that the vectors A→,B→ in X-Yplane and are perpendicular (θ=900) to each other. A→ and B are…

Q: A room has dimensions 2.31 m (height) × 5.45 m × 6.78 m. A fly starting at one corner flies around,…

A:

Q: Vector a lies in the yz plane 68.0° from the positive direction of the y axis, has a positive z…

A: The magnitude of the vector a is 3.70 m and its direction is 68.0° from the positive direction. The…

Q: For an independent study project, you design an experiment to measure the speed of light. You…

A: a. To determine the angle that the normal to the mirror should make with respect to due west, we…

Q: A particle is moving with the given data. Find the position of the particle. a(t) = 10 sin(t) + 9…

A:

Q: 52. A shot is fixed at an angle a to the horizontal up an inclined plane of inclination B. It will…

A: 52) Refer to the figure below :  It is given that the shot strikes the plane horizontally at point…

Q: The figure shows two displacement vectors A and B.Vector A points at an angle of 23.0° above the x…

A:

Q: Two vectors are given by ả = 3.2î + 5.2ĵ and ☎ = 6.3î + 7.0ĵ. Find (a)|à x b], (b) à · Ả,(c)(à + b).…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: A room has dimensions 2.44 m (height) × 5.76 m × 6.24 m. A fly starting at one corner flies around,…

A: Given, A room has dimension, 2.44 m×5.76 m× 6.24m

Q: Which of the following are correct (meaningful) vector expressions? (a) A ( B . C ) (b) Ả ×(B . 7)…

A:

Q: A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Part (A). You are designing the radar system to track the UFOs appearing in the city. In your setup,…

A: (A) In triangle UBR2 tan15°=hx+20⇒h=(x+20)tan15° In triangle UBR1 tan35°=hx⇒h=xtan35° So…

Q: Ryan is in a police helicopter 400 m directly above a highway. When he looks west, the angle of…

A:

Q: Write a program in fortran TT to find the roots of the quadratic equation ar² hr

A:

Q: A champion dart thrower has decided that he could easily win a spear fishing contest. Unfortunately,…

A:

Q: Three displacement vectors are plotted on an x y plane. Vector A, the shortest of the three, starts…

A:

Q: A vector of 6 units makes an angle of 45 degrees with the positive x-axis. His vehicles are X-rays…

A: The components of the vector show the effect of a quantity along a given direction. Any vector can…

Q: A +y B 20.0° 60.0° +x The three displacement vectors in the drawing have magnitudes of A = 4.24 m, B…

A: let , R be the resultant vector then   R=A+B+Cx - component of resultant…

Q: Determine if the vectors A = (-4.0, 1.0, 2.0) and B = (1.0, - 2.0, 3.0) %3D are parallel to each…

A:

Q: A whale dives from the surface of the ocean at an angle of 30° below the horizontal and followed a…

A: Given data The angle is given as θ=30°. The distance travelled in the linear path is given as d =…

Q: e. S A woman stands at a horizontal distance z from a mountain and measures the angle of elevation…

A: Given that:- In this question height of mountain top from ground is y.

Q: Vector A = 7.2 i + 2.6 j. Vector B = 7.5 i + 7.4 j. The magnitude of the cross product i.e. |AxB|…

A:

Q: Problem 1. Evaluate the expression (-2 + 3i)(-3 – 9i) and write the result in the form a + bi. The…

A: Given expression:X=-2+3i-3-9i

Q: The figure shows two displacement vectors A and B. Vector A points at an angle of 22.0° above the x…

A: Given data:  Two equal displacement vectors A and B Angle with by vector A with the x-axis (θ) =…

Q: A radio station antenna is 31 km away, 20° north of west with respect to an origin on a map. An…

A:

Q: 35. ssm Vector A points along the +y axis and has a magnitude of 100.0 units. Vector B points at an…

A:

Q: Mr. M is walking to Mr. T’s house. He takes a short cut across an open field. His first displacement…

A:

Q: Star and Kiara are at the 2019 Something in the Water festival in VA Beach. They were separated from…

A: Consider the following illustration of the problem:     Here, A, B, and C are the positions of…

Q: A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed…

A:

Q: Vector C can be written (-3i+1j) cm O (-4i+2j) cm O (i-3j) cm (2i+-4j) cm y (cm) 2 1 x (cm)

A:

Q: A 20.0° +y B 60.0° +x The three displacement vectors in the drawing have magnitudes of A = 5.92 m, B…

A:

Estimate of calculation