Consider the planes 5x + 3y + 5z = 1 and 5x + 5z =0 a) find the unique point p on the y-axis which is on both planes. b) find a unit vector u with positive first coordinate that is parallel to both planes. c) use parts A and B to find a vector equation for the line of intersection of the two planes, r(t)
Vector Arithmetic
Vectors are those objects which have a magnitude along with the direction. In vector arithmetic, we will see how arithmetic operators like addition and multiplication are used on any two vectors. Arithmetic in basic means dealing with numbers. Here, magnitude means the length or the size of an object. The notation used is the arrow over the head of the vector indicating its direction.
Vector Calculus
Vector calculus is an important branch of mathematics and it relates two important branches of mathematics namely vector and calculus.
Consider the planes 5x + 3y + 5z = 1 and 5x + 5z =0
a) find the unique point p on the y-axis which is on both planes.
b) find a unit
c) use parts A and B to find a vector equation for the line of intersection of the two planes, r(t)
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