Math (GeometryVectors)
posted by Bob .
Let θ be the angle between two vectors v and u . If v*u =12, v=2, u=6√2 and 0∘<θ<180∘, what is the value of θ (in degrees)?

v•u = v u cosθ, so
cosθ = 12/(2*6√2) = 1/√2
clear now?
Respond to this Question
Similar Questions

math trigono
1. If tanθ = –√3 , what is the value of cot ? 
Trignometry
Let θ be the angle between the xaxis and the line connecting the origin O(0,0) and the point P(−3,−4), where 180∘<θ<270∘. Given that sinθ+cosθ+tanθ=−a/b, where a and b are … 
Math
θ is an angle such that 180∘<θ<270∘, and sinθ=−12/13. What is the value of 180(sin^2 θ/2+cos^2 θ/2 +tan^2 θ/2)? 
Trigonometry
There are four complex fourth roots to the number 4−4√3i. These can be expressed in polar form as z1=r1(cosθ1+isinθ1) z2=r2(cosθ2+isinθ2) z3=r3(cosθ3+isinθ3) z4=r4(cosθ4+isinθ4), … 
Complex angles
There are four complex fourth roots to the number 4−43√i. These can be expressed in polar form as z1=r1(cosθ1+isinθ1) z2=r2(cosθ2+isinθ2) z3=r3(cosθ3+isinθ3) z4=r4(cosθ4+isinθ4), … 
PHYSICS(HELP)
A small object of mass m= 90 kg slides down a spherical dome of radius R=12 m without any friction. It starts off at the top (polar angle θ=0) at zero speed. Use g=10 m/s2. (See figure) (a) What is the magnitude of the force (in … 
physics (help)
A small object of mass m= 90 kg slides down a spherical dome of radius R=12 m without any friction. It starts off at the top (polar angle θ=0) at zero speed. Use g=10 m/s2. (See figure) (a) What is the magnitude of the force (in … 
physics(URGENT)
A small object of mass m= 30 kg slides down a spherical dome of radius R=12 m without any friction. It starts off at the top (polar angle θ=0) at zero speed. Use g=10 m/s2. What is the magnitude of the force (in Newton) exerted … 
physics(help)
A small object of mass m= 90 kg slides down a spherical dome of radius R=12 m without any friction. It starts off at the top (polar angle θ=0) at zero speed. Use g=10 m/s2. (See figure) (a) What is the magnitude of the force (in … 
mechanics
Two pool balls, each of mass 0.2kg, collide as shown in the figure above. Before the collision, the black ball’s velocity makes an angle of 30∘ with the horizontal line. After the collision, the white ball’s velocity makes …