Dot Product Quiz

Select the expressions which are meaningful. Do not select the expressions which are meaningless and incorrect.

a dot b of <4,1, 1/4> and <6,-3,-8> is 19.

a dot b of: a=2i+j, b=i-j+k is 2.

Find the angle between the vectors. a = <3,-1,5>, b=<-2,4,3>. Ans: [blank_start]81[blank_end] degrees

Find the three angles of the triangle with the given vertices. P(2,0), Q(0,3), R(3,4) Ans: p= [blank_start]48[blank_end] degrees q= [blank_start]75[blank_end] degrees r= [blank_start]57[blank_end] degrees

Determine whether the vectors are orthogonal, parallel, or neither. a=<-5,3,7> , b=<6,-8,2>

Determine whether the vectors are orthogonal, parallel, or neither. a = <4,6>, b=<-3,2>

Find the angles between the curves at their points of intersection. y=x^2 y=x^3 ans: [blank_start]7/(5(sqrt2))[blank_end]

Find the scalar and vector projections of b onto a. a=<3,6,-2>, b=<1,2,3> ans: comp_a(b)= [blank_start]9/7[blank_end] proj_a(b) = <[blank_start]27/49, 54,49, -18/49[blank_end]>