# Determine the angle between each of the following pairs of...

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Assessment of Learning: Teacher-Marked Lesson 20: Intersection of Lines and Plane in 3-space Properties of Vectors TASK 1: Knowledge and Understanding Questions 1. Determine the angle between each of the following pairs of vectors. .
b) ´ p = ( 1,4,5 ) and q = ( 3, 1,3 ) ° .
2. Find the slope of the vector that is perpendicular to the scalar equation 6x-3y+2=0 Compare the equation to the general scalar equation in 2 space Ax + By + C = Therefore, A = 6 , B =− 3 and C 0 = 2 .
3. Write an alternative vector equation for the following line. Change point the point and the direction vector: ´ w =( 4, 1,3 )+ t (− 2,1,7 ) )
4. Determine whether the angle between each of the following pairs of vectors is acute, obtuse or neither. a) ´ a = ( 10, 4,1 ) )
5. Given the vector equation in 2-space, ( x, y ) = ( 3,2 ) + t ( 2,4 ) , write a scalar equation for the line. Given the vector equation of this line, (3,2) is a point on the line. Find the slope of the line using the direction vector.
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6. Write a vector equation for the line that passes through the point P (-1,0,3) and is parallel to the y-axis. )