Given r(t)=3ti+5t^2j+2tk, find the unit normal vector N(

Given r(t)=3ti+5t^2j+2tk, find the unit normal vector N(t) evaluated at t=0,N(0).
A lug nut is tightened by applying a 35-N

force to a 0.25-m

wrench at an angle of 85 degree

. Find the magnitude of the torque applied to the lug nut. Express your answer in newton-meters rounded to two decimal places.

Consider the parallelepiped with edges OA,OB,OC

, where A(10,16,−1) , B(−1,4,0), , and C(−9,−11,−5)

. Find the volume of the parallelepiped.

Calculate the triple scalar product w⋅(u×v) where u=⟨1,1,1⟩, v=⟨7,6,9⟩, and w=⟨4,2,7⟩

Consider the points A(2,−3,4)

, B(0,1,2)

, and C(−1,2,0)

. Find the exact area of the parallelogram with adjacent sides AB AND AC

Looking for a Similar Assignment? Order now and Get 10% Discount! Use Coupon Code "Newclient"