<span>2x - 3y - 3z = 8
We've been given the normal vector to the plane <2, -3, -3> and a point within the plane (1, -5, 3). In general if you've been given both the normal vector <a,b,c> and a point (e,f,g) within the plane, the expression for the plane will be:
ax + by + cz = d
and you can compute d by:
d = ae + bf + cg
So let's calculate d:
d = ae + bf + cg
d = 2*1 + -3*-5 + -3*3
d = 2 + 15 + -9
d = 8
And the equation for the plane is
2x - 3y - 3z = 8</span>
Answer:
7 foot
Step-by-step explanation:
Maybe the one where the are facing eachother?
Answer: V = (10.4 mph, 38.6 mph)
Step-by-step explanation:
The velocity is written as (vx, vy)
where vx is the component of the velocity in the x-axis and vy is the component of the velocity in the y-axis.
In usual notation, the angles are measured counterclockwise from the positive x-axis.
We know that the angle is 75°, this means that the velocity in the x-axis will be equal to the total velocity of the bird projected in the x-axis (suppose a triangle rectangle, where the velocity is the hypotenuse, the x component is a cathetus and the y component is other cathetus)
vx = 40mph*cos(75°) = 10.4 mph
vy = 40mph*sin(75°) = 38.6mph
Then the vector of velocity is V = (10.4 mph, 38.6 mph)
