Consider the planes 2r + 2y+ 3=1 and 2r + 3 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. i+ j+ k (C) Use parts (A) and (B) to find a vector equation for the line of intersection of the two planes,r (t) = i+ j+

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Q: Q1: al Find parametric and vector equations for the line y-axis, then find the distant between the…

A: Since you have uploaded multiple question, according to our guidelines we have solved first question…

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A: The position vector of point A is given by i+5k. The line l1 has vector equation…

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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.