a) Find an equation of the line perpendicular to the vector i + j, and in the plane (x − 9) − (y − 23) + (z − 2020) = 0. (b) Find the distance between this line and the point Q(9, 23, 2019).
a) Find an equation of the line perpendicular to the vector i + j, and in the plane (x − 9) − (y − 23) + (z − 2020) = 0. (b) Find the distance between this line and the point Q(9, 23, 2019).
a) Find an equation of the line perpendicular to the vector i + j, and in the plane (x − 9) − (y − 23) + (z − 2020) = 0. (b) Find the distance between this line and the point Q(9, 23, 2019).
(a) Find an equation of the line perpendicular to the vector i + j, and in the plane (x − 9) − (y − 23) + (z − 2020) = 0. (b) Find the distance between this line and the point Q(9, 23, 2019).
Transcribed Image Text:1. (a) Find an equation of the line perpendicular to the vector i+j, and in the plane (x – 9) – (y –
23) + (z – 2020) = 0.
(b) Find the distance between this line and the point Q(9, 23, 2019).
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
Expert Solution
Step 1
Concept:
The two expressions connected by an equal to is called an equation. The expression on the two sides of equal to be left-hand side and right-side. The algebraic equation is the most common type of equation in which two sides are algebraic expression
Step 2
Given:
(x − 9) − (y − 23) + (z − 2020) = 0
Step 3
a)
The objective is to find the equation of the line perpendicular to vector V=i+j and in the plane (x − 9) − (y − 23) + (z − 2020) = 0
On considering the given equation,
(x − 9) − (y − 23) + (z − 2020) = 0 ------(1)
Vector perpendicular to a plane
is
From equation (1)
a=1, b=1,c=1 and u=
Step by step
Solved in 6 steps with 1 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
