86. A force 51-21 +3k acts on a particle with position vector 21+1-2k. The torque of the force about the origin is (A) 1+16] +9k (B) -Î+161-9k Sj 1S+1] [1+S) [+ (C) i +16] -9k 10 (D) -Î-161-9k (9)) =X (0)
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- 1) a) Let u=<1,−2,2> and v=<4,1, c >, where c is an undetermined scalar. What value should c have if u is to be perpendicular to v? b) Does the condition u×v=u×w where u does not equal 0, imply that v=w? Explain why or why not.A particle is acted upon by constant forces 4i+j-3k and 3i+j-k and is displaced from the point (1,2,3)to the point (5,4,1). Find the total work spent by the forces ?7. Find an initial point P of a nonzero vector m = P& with ter-minal point O(3. 0. -5) and such that B) u is oppositely directed to v = (4, -2,-1)
- 5)Find the terminal point of the vector that is equivalent to u = (1, 2) and whose initial point is A(1, 1).the component of vector a are ax=2.0 units and ay=3.0units while that of another vector b are Bx= 3.0 units and by=2.0 units. what is the smallest between vectors a and b5) Find the initial point of the vector that is equivalent to u = (1, 1, 3) and whose terminal point is B(−1, −1, 2).
- If A is invertible, i.e., for any given r.h.s. vector b, the system Ax = b has a solution. How can you compute the 3rd column of A^−1(what r.h.s. b would youchoose)?If F1 and F2 are two forces simultaneously acting on anobject, the vector sum F1 + F2 is called the______ force.4. Find an initial point ? of a nonzero vector u = PQ with terminal point Q(3, 0, −5) and such that u as the same direction as v = (5, −3, −2).
- What is the value of each of the constants that are part of the linear combination between the vectors 2i+3j−k, (8, −7, 2) and (1, −1, 1) so that the vector (11 , −29, 11) is the result of that combination?If F1 and F2 are two forces acting on an object, the vector sum F1 + F2 is called the_______ force.From the system x' = -x + 5y og y' = -y show that the vector function (top of picture) is a solution of the system only if (bottom of picture) is true.