If (x, y, z) is the position of point then position vector can
be write as x +y
+z
What is the initial position vector i in unit-vector notation? 2m//cr ~---_., 4 m 3 m...
The figure shows thes initial position i and the final position fof a particle. Im 4 m 4 m what is the initial position vector → in unit-vector notation? 3 m Im 4 m 4 m 3m m j+ m 1 + What is the final position vector rf in unit-vector notation? 1m +/ 13 m μ 3 m m i+ ? hat is the x component of displacement Δ 4 m m 1
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(a) In unit-vector notation, what is the sum of a - ! 3.4 m ji + 2.1 m |j and b-Ί-14.0 m i + 17.9 m |j . what are (b) the magnitude and (c) the direction of a + b (relative to i )? (a) Number Units (b) Number Units (c) Number Units The two vectors a and b in the figure have equal magnitudes of 11.9 m and the angles are θ,-30° and θ2-1060. Find...
A1. For problem 21.57, write a formula for the position vector
of the electron as a function of time,
r⃗(t)r→(t), using unit vector ("i-hat"
and "j-hat") notation. Assume the electron starts at the origin of
your coordinate system at t = 0, so
r0→=0iˆ+0jˆ.
(Hint: Use equation 3-13b from the textbook.)
--- Hint
57. (II) An electron has an initial velocity o (8.0 x 10m/s)i /s)j It enters a region where E (2.0i +8.0j) x 10*N/C (a) Determine the vector...
4.
General Motion with Unit Vectors and Components An object undergoes the following consecutive displacements: s (2i +3j +5k)m,s2 (6i- 9j + 2k)m, and s3 (10i 8j -k)m. a) Find the resultant displacement in terms of unit vectors and components. b) State the magnitude of the resultant displacement. 2. Suppose a hiker travels 5 km southwest from their camp. Then, the hiker travels 2 km 75° north of east. a) Find the displacement of the hiker form their camp. b)...
The position vector for a proton is initially r = 8.0i -6.0j + 2.0k, and then later is r = -3.0i + 6.0j + 2.0k, all in meters. What is the proton's displacement vector i-component? j-component? k-component? To what plane is it parallel ('xy', 'xz', 'yz')?
Suppose
that Case i is an outlier in the sense that an amount δ is added to
its expected value. Let u i be the unit vector with 1 in the ith
position and zeros elsewhere and write the revised model is y = Xβ
+ δu i + e. Weisberg (1985) calls this the mean shift outlier
model. Using standard methodology, develop the test statistic for
the hypothesis, H 0 : δ = 0 and show that the resulting...
A plum is located at coordinates (-5.00 m, 0, 5.55 m). In unit-vector notation, what is the torque about the origin on the plum if that torque is due to a force whose only component is (a) F 1.65 N, (b) F1.65 N, (c) F. 1.65 N, and (d) F1.65 N? (a) Number Units (b) Number Units (c) Number Units (d) Number k Units
A plum located at coordinates (-4.02 m, 0, 5.46 m). In unit-vector notation, what is the torque about the origin on the plum if that torque is due to a force whose only component is (a) Fx = 5.20 N, (b) Fx = -5.20 N, (c) F 5.20 N, and (d) F -5.20 N? K Units (a) Number K inits (b) Number K Units (c) Number (d) Number units
7.
General Motion with Unit Vectors and Components An object undergoes the following consecutive displacements: s (2i +3j +5k)m,s2 (6i- 9j + 2k)m, and s3 (10i 8j -k)m. a) Find the resultant displacement in terms of unit vectors and components. b) State the magnitude of the resultant displacement. 2. Suppose a hiker travels 5 km southwest from their camp. Then, the hiker travels 2 km 75° north of east. a) Find the displacement of the hiker form their camp. b)...
6.
General Motion with Unit Vectors and Components An object undergoes the following consecutive displacements: s (2i +3j +5k)m,s2 (6i- 9j + 2k)m, and s3 (10i 8j -k)m. a) Find the resultant displacement in terms of unit vectors and components. b) State the magnitude of the resultant displacement. 2. Suppose a hiker travels 5 km southwest from their camp. Then, the hiker travels 2 km 75° north of east. a) Find the displacement of the hiker form their camp. b)...