## BABYdashco

### Daily Vectors Ideas     # Consider Planes X Y Z X Z Find Unique Point P Y Axis Planes Find Unit Vector U Po Q

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(A) Find the unique point eqPeq on the eqyeq-axis which is on both planes. (B) Find a unit vector with positive first coordinate that is parallel to both planes. This vector is parallel to the line of intersection of the two planes. If the first component of this vector is negative multiply all the components by -1. Divide it by its magnitude this will give you a unit vector. Pick any convenient values for x and z that satisfy both plane equations when y for example x 1 z -1. Then Consider the planes 3x4y4z1 and 3x4z0 (A) Find the unique point P on the y-axis which is on both planes (0 0) (B)Find a unit vector u with positive first coordinate that is parallel to both planes.

Multivariable Calculus Are the planes 2x - 3y z 4 and x - y z 1 parallel If not find the equation of the line of intersection in parametric and symmetric form. The cross product is used Consider the planes 1x2y3z1 and 1x3z0 (A) Find the unique point P on the y-axis which is on both planes. ( ) (B) Find a unit vector with positive first coordinate that is parallel to both planes. (A) Find the unique point eqPeq on the eqyeq-axis which is on both planes. (B) Find a unit vector with positive first coordinate that is parallel to both planes.

Consider the planes 2x 1y 5z 1 and 2x 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. Consider the planes 3x 2y 4z 1 and 3x 4z 0. Find the unique point P on the y-axis which is on both planes. Find a unit vector u with positive first coordinate that is parallel to both planes. Consider the planes 5x4y2z1 and 5x2z0. A) find the unique point P on the y axis which is on bothplanes (_ _ _). B) Find the unit vector u with first positivecoordinates that is parallel to both planes __i __j __k C) Use the vectors form the previous parts to find a vectorequation for the [thetarho] cart2pol(xy) transforms corresponding elements of the two-dimensional Cartesian coordinate arrays x and y into polar coordinates theta and rho. example [ theta rho z ] cart2pol( x y z ) transforms three-dimensional Cartesian coordinate arrays x y and z into cylindrical coordinates theta rho and z .