Given =
î + ĵ − 2 and
=
î − 4 ĵ − ,
calculate the vector product ✕ .
--i+---j+---k
=-9i+(-1)j+(-5)k
Given M = 4 i +6 - 2 K and N = 6 î - 49 - 4 , calculate the vector product M N. Need Help? Read It Watch It
A 2.80-kg object has a velocity (6.20 î - 2.40 ĵ) m/s. (Note: From the definition of the dot product, v2 = v with arrow · v with arrow.) (a) What is its kinetic energy at this moment? (b) Find the net work done on the object if its velocity changes to (8.00 î+ 4.00 ĵ) m/s. J
In a non-conducting region, the medium is polarized according to the vector P = 2x î + y ^ 2 ĵ - 4z k C / m2. If the relative permittivity of this medium is εr = 2.5, determine (a) the polarization volumetric charge density ρpv at (1,1,2), (b) the polarization surface charge density ρps at (1, 1, -2) on the positive face (x) of the material.
A 1.30-kg particle moves in the xy plane with a velocity of = (4.10 î − 3.80 ĵ) m/s. Determine the angular momentum of the particle about the origin when its position vector is = (1.50 î + 2.20 ĵ) m.
A proton moves through a region containing a uniform electric field given by = 30.0 ĵ V/m and a uniform magnetic field = (0.200 î + 0.300 ĵ + 0.400 ) T. Determine the acceleration of the proton when it has a velocity = 230 î m/s. could you also explain in detail the vector addition process?
1- Two vectors are given as u = 2î – 5j and v=-î +3j. a- Find the vector 2u + 3v (by calculation, not by drawing). (4 pts) b- Find the magnitudes lil and 17% of the two vectors. (4 pts) c- Calculate the scalar product uov. (5 pts) d- Find the angle 0 between the vectors ū and . (6 pts) e-Calculate the vector product u xv. (6 pts)
Given M 5 i +4- 3 k and N 6 i- 3 j - k, calculate the vector product M x N. 8 Review the definition of the cross product in term of components. i + Need Help? LReadIt 11 watch lt
Vector field F = î 3y + ŷ (5 – 2x) + î (22 – 2) is given. Find: (e) The surface integral of the normal component of the curl of F over the open hemisphere x + y2 + z = 4 above the x-y plane.
A flea jumps by exerting a force of Fflea = −1.54 ✕ 10−5 ĵ N straight down on the ground. A breeze blowing on the flea parallel to the ground exerts a force of Fwind = −7.12 ✕ 10−5 î + 2.38 ✕ 10−5 k N on the flea. Find the acceleration of the flea if its mass is 6.00 ✕ 10−7 kg. Express your answer in vector form. Assume that the +x axis is to the right, the +y...
A)= B)= C)= A vector is given by R 2.20 î + 2.40 j+ 2.92 k. (a) Find the magnitudes of the x, y, and z compon (b) Find the magnitude of R. (c) Find the angle between R and the x axis Find the angle between R and the y axis. Find the angle between R and the z axis.