Consider the vectors A = 2.0i - 4.0j + k. B = 3.0i + 4.0j + 10.0k, C = -3.0i - 4.0j, D= -3.0i +4.0j, E = -2.0i + 3.0j +2.0k, F=-9.0j.
Part (a) What is A × B? Give your answer in the form of "ai + bj + ck".
Part (b) What is B × A? Give your answer in the form of "ai + bj + ck".
Part (c) What is C × D? Give your answer in the form of "ai + bj + ck".
Part (d) What is F × E? Give your answer in the form of "ai + bj + ck".
Consider the vectors A = 2.0i - 4.0j + k. B = 3.0i + 4.0j + 10.0k, C = -3.0i - 4.0j
Express Fas a vector in terms of the unit vectors i, j and k (present your answer with 3 significant figures). Please enter your answers in the form of Ai +Bj +Ck. z - F = 60 N 1101 40 50 Dimensions in millimeters Determine the angle in degrees between F and the y- axis. z - F = 60 N 1101 40 50 Dimensions in millimeters 300 mm 150 mm 200 mm Use the vector product treatment to express...
14. At a certain instant, a partide-like object is acted on by a force F=8.0i+4.0j-2.0k (in N) while the object has a velocity given by V=4.0i-2.0k (in m/s). What is the instantaneous power at which this force does work on the object. A.28W B.40W C.36W D.32W E.24W
Consider the points P(0,0,9) and Q(-3,3,0). a. Find PQ and state your answer in two forms: (a,b,c) and ai + bj + ck. b. Find the magnitude of PQ. c. Find two unit vectors parallel to PQ.
At a particular stant, a 1.0 kg particle's position is r answers in vector form.) (6.01 4.0 + 2.0k) m, its velocity s v = ( 1.01+ 4.0j +10k m/s, and the orce on t is F- 1 2.0i-16 N Express your a) What is the angular momentum (in kg - m2/s) of the particle about the origin? kg·m2/s (b) What is the torque (in N m) on the particle about the origin? (c) What is the time rate of...
Four vectors are given by A=2.5i +3.5j, B=1.0i +4.5j + 2.5k, C=1.5i +2.0j +3.0k, and D=3.0j +1.5k. What is the vector E=A +B +C +D? What is the vector F=A - B +C -D? What is the magnitude of E? The magnitude of F?
(1point) Let r = xi + yj + zk and a = 4i +4j + 2k. (a) Find VG a). (b) Let C be a path from the origin to the point with position vector ro - ai+bj +ck. Find Jc VG a) df (c) If I I roll = 10, what is the maximum possible value of IV(F. , dF2 (Be sure you can explain why your answer is correct.) maximum value of Jc VG.ã di
(1point) Let r...
se the following values ifneeded: e 1.6x10-19C; k-9.0x10"Nn? /C" olve the problems below if the location of some points are given as: Point A is at position (-3.0j+4.0k)cm; Point B is at position (4.0k)cm; Point C is at position (3.0i-2j+5.0k)em Point D is at position (-3.0jenm cm. 1. Charges of -4.0 uC and +9.0 pC are at A and B respectively. What is the electric field at point D? 2. Charges of -4.0 uC and+9.0 HC are at A and...
Please answer both part. Thanks.
In the power method, let rk d(x(k+1))/ф(z(k)). We know that limk-oo rk Show that the relative errors obey 1- Ai where the numbers ck form a convergent (and hence bounded) sequence. (Continuation) Show that rk +1-λι-(c+&J(rk-A) where Icl < 1 and limn-o0 Sk 0, so that Aitken acceleration is applicable.
In the power method, let rk d(x(k+1))/ф(z(k)). We know that limk-oo rk Show that the relative errors obey 1- Ai where the numbers ck form...
3. Consider the following vectors, where k is some real number. H-11 Lol 1-1 a. For what values of k are the vectors linearly independent? b. For what values of k are the vectors linearly dependent? c. What is the angle (in degrees) between u and v? 4. Here are two vectors in R". Let V = the span of {"v1r2} a. Find an orthogonal basis for V (the orthogonal complement of V). b. Find a vector that is neither...
Consider the three vectors shown in the figure. They have
magnitudes |A| = 37, |B| = 7.5, and |C| = 33.9,....
Class Management Help HW 1 B egin Date: 1/13/2019 12:01:00 AMDue Date: 1/22/2019 11:59:00 PM End Date: 5/6/2019 11:59:00 PM (20%) Problem 9: Consider the three vectors shown in the figure. They have magnitudes AI-37, İBİ-7.5, and ICI-33.9, and the labeled angles are 0- 40°, 0-20°, and ac-15°, Note that the figure shows the definitions of the angles, but...