|ssm The figure shows three displacement vectors Ā, B, and C.These vectors are arranged in tail-to-head fashion, and they add togetherto give a resultant displacement R, which lies along the x axis. Note thatthe vector B is parallel to the x axis. Concepts: (i) How is the magnitudeof A related to its scalar components A, and A,? (ii) Do any of the vectorsin the figure have a zero value for either their x or y components? (If so,which ones?) (iii) What does the fact that Ā, B, and C add together togive R tell you about the components of these vectors? Calculations:What is the magnitude of the vector A and its directional angle 0?*71.10.0 m23.0 m50.0%35.0 mProblem 71

Answered: Image /qna-images/answer/2a46c793-8949-4a1e-9641-2ac69b4c4880.jpg

Answered: |ssm The figure shows three…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter3: Vectors

Section: Chapter Questions

Problem 50PQ: An aircraft undergoes two displacements. If the first displacement is directed at an angle of 225...

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A vector points from the origin into the second quadrant of the xy plane. What can you conclude about its components? (a) Both components are positive. (b) The x component is positive, and the y component is negative. (c) The x component is negative, and the y component is positive. (d) Both components are negative. (e) More than one answer is possible.
A delivery man starts at the post office, chives 40 km north, then 20 km west, then 60 km northeast, and finally 50 km north to stop for lunch. Use a graphical method to find his net displacement vector.
An aircraft undergoes two displacements. If the first displacement is directed at an angle of 225 with the positive x axis and has magnitude 30.0 miles, and if the resultant displacement is directed at an angle of 75.0 with the positive x axis and magnitude 22.0 miles, what are the magnitude and direction of the second displacement?
. (III) You are given a vector in the xy plane that has a magnitude of 90.0 units and a y component of -65.0 units(a) What are the two possibilities for its x component?(b) Assuming the x component is known to be positive,specify the vector which, if you add it to the original one,would give a resultant vector that is 80.0 units long andpoints entirely in the -x direction.
A displacement vector points in a direction of 31 degrees left of the positive y-axis. The magnitude of this vector is D=195m. Enter an expression for the x-compononent vector D_x, in terms of D, theta, and the unit vectors i and j.
A vector, → A , has the components, Ax= -1.2 m, Ay= 2.1 m and Az= 0 m. Another vector, → B has components Bx= 2.1 m By= ??? and Bz= 0 m. If the two vectors, → A and → B , are perpendicular then By =
Find the sum of the following four vectors ((a) and (b) for x and y components respectively), and as (c) a magnitude and (d) an angle relative to +x (including sign plus or minus).P→: 16.0 m, at 16.0o counterclockwise from +xQ→: 7.00 m, at 6.80o counterclockwise from +yR→: 23.0 m, at 33.0o clockwise from -yS→: 24.0 m, at 47.0o counterclockwise from -y I just need (d) solved. Thank you.
For a given 3-Dimensional vector: A = Axi + Ayj + Azk Its magnitude maybe obtained by product also called the product, expressed as the following A⋅A = Ax2 + A + However, we know that A⋅A = A so A = A2 + Ay + z Then, the magnitude is expressed as: A = sqrt ( Ax2 + A + )
An air traffic controller observes two airplanes approachingthe airport. The displacement from the control tower to plane 1is given by the vector A>, which has a magnitude of 220 km andpoints in a direction 32° north of west. The displacement from thecontrol tower to plane 2 is given by the vector B>, which has a magnitude of 140 km and points 65° east of north. (a) Sketch the vectors A>, -B>, and D>= A>- B>. Notice that D>is the displacementfrom plane 2 to plane 1. (b) Find the magnitude and direction ofthe vector D>
1- Find the sum of two vectors A and B lying in the xy plane and given by:⃗A=2 ^i+2 ^j and ⃗B=2 ^i−4 ^j2- A particle undergoes to three consecutive displacements:⃗d1=15 ^i+30 ^j+12 ^k , ⃗d2=23 ^i−14 ^j−5^k , ⃗d3=−13 ^i+15 ^jFind the components of the resulting displacement and its magnitude.
Given two vectors, Land D where L=275ⅈ-64j and D=161.7ⅈ+44j what is the resultant, R, of these two vectors in i, j, k format? Of course, the k component equals zero in this example. What is the magnitude of the Resultant, or R ? What is the direction of the Resultant, R in the standard two-dimensional x-y plane with respect to the positive x axis?
A watermelon seed has the following coordinates: x=-5.0 m, y = 8.0 m, and z = 0 m. Find its position vector (a) in unit-vector notation and as (b) a magnitude and (c) an angle relative to the positive direction of the x axis. (d) Sketch the vector on a right-handed coordinate system. If the seed is moved to the xyz coordinates (3.00 m, 0 m, 0 m), what is its displacement (e) in unit-vector notation and as (f) a magnitude and (g) an angle relative to the positive x direction?

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