Find the angle between the line #(x-2)/3=(y+3)/3=(z-1)/1# and the plane #2x-3y+4z=0# ?
2 Answers
look carefully,
Explanation:
given the direction cosine of line as
clearly , using dot product of vectors,
Nowit is very easy to find the numerical value of
Explanation:
We are given the symmetric form of the equation of the line:
Convert the symmetric form of the line to the parametric form by setting each expression equal to t:
Multiply both sides by the denominators:
Move the constants to the right:
Convert to the vector form:
Please understand the
Find any two points in the plane,
Pick
The first point is
Pick
The second point is
Make a vector from the first point to the second:
Please understand that
Compute the dot-product of
Compute the magnitudes of
Using the formula