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.
1. A vector B = Bxi + Byj, when added to the vector C = 3.0i + 4.0j, yields a resultant vector A that is in the negative y- direction and has a magnitude which is twice that of C. Find (a) Bx and By, (b) the magnitude of B, (c) the angle between B and C. 2. John had a good long walk on Sunday morning with his dog. He started from his home walking 1.2 mile east, then...
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...
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...
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...
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...