at the origin.

Find the area of the triangle determined by the points P, Q, and R. Find a unit vector perpendicular to plane PQR . P(-1,1,0), Q(0,0,1), R(0,0, – 1)

What angles does the I vector make with the z axis when 1 = 2?

8. My Exit Ticket Enter the coreet answer in the space provided. Three vectors begin at the origin point of a Cartesian plane. The first extends to point (10, 5); the second extends to point (-4,-6); and the third extends to point (-8, 3). When you subtract the second two vectors from the first, the resultant vector is (

find Ay

Calculate the angle between the vectors A=(5;4) and B=(2;8)

(b) (c) (d) (e) (f) please

Show that V = yz î+xzŷ+xy ê can be written as the curl of a vector v. Determine i for which V.i = 0.

Express the vector directed from point A(3,2,-7) to point B(-1,-4,2) in cylindrical coordinates.

The magnitude of the force required to compress an imperfect horizontal spring a distance x is given by Fbs=kx+bx3 where k=120 N/m and b=18 N/m3. If you use a 3.5−kg block to compress the spring a distance of 1.6 m and then let it go, what speed will the block have when it leaves the spring? Assume the surfaces are smooth enough that any frictional forces can be neglected.