Question

Consider two vectors are as A⃗ = aeˆx + 2ˆey and B⃗ = ˆex + 3ˆey.
a)For what values of a, the component of A⃗ along B⃗ equal to zero? ​For what value of a, the
component of A⃗ along B⃗ should be negative?
b) What is the angle between the planes whose Cartesian equations are 3x+2y+6z=8
and 2x+2y+7z=5?

Answer 1

a)1

(multiply A with -3 and B with 2. )

A = -3ae^x-6^ey

B= 2^ex +6^ey so they will be opposite to each other.