1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
a_sh-v [17]
2 years ago
8

Find the equation of the plane with the given description. contains the lines r1(t) = 2, 1, 0 + t, 2t, 4t and r2(t) = 2, 1, 0 +

4t, t, 15t .
Mathematics
1 answer:
Genrish500 [490]2 years ago
8 0
The intersection point of the two lines is (2,1,0).
The respective direction vectors are
L1: <1,2,4>
L2: <4,1,15> 
Since the normal vector of the required plane is perpendicular to both direction vectors, the normal vector of the plane is obtained by the cross product of L1 and L2.
i  j    k
1 2  4
4 1 15
=<30-4, 16-15, 1-8>
=<26, 1, -7>

We know that the plane must pass through (2,1,0), the equation of the plane is

26(x-2)+1(y-1)-7(z-0)=0
simplifying,
26x+y-7z=52+1+0=53
or
26x+y-7z=53

Check:
Put points on L1 in the plane
26(t+2)+(2t+1)-7(4t+0)=53   ok
For L2,
26(4t+2)+(t+1)-7(15t+0)=53  ok
You might be interested in
QUICK<br><br> is this correct?
11111nata11111 [884]

Answer:

YES IT IS

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Can somebody please help me? I will mark brainiest if i can!<br> qr + r; use q = 3, and r = -6
Sveta_85 [38]
The answer is -12. R times -6 is -18 and -18 plus -6 is -12
5 0
2 years ago
Read 2 more answers
What is the volume of a right circular cylinder with a base diameter of 6m and a height of 5 m
maria [59]

Step-by-step explanation:

35

4 0
2 years ago
HELP ITS URGENT please
stich3 [128]
The correct answer is D.

A function cannot have an x-value that corresponds to more than one y-value.
In this table, the x-value '8' corresponds to two separate y-values; 8 and 5, making it invalid as a function.
7 0
3 years ago
The difference of the square of a number and 24 is equal to 5 times that number. Find the negative solution.
vampirchik [111]

Answer:

the "negative solution" is -3

Step-by-step explanation:

Represent the number by n.

Then n^2 - 24 = 5n

We rewrite this in standard quadratic form:

n^2 - 5n - 24 = 0

This factors as follows;  (n + 3)(n - 8) = 0

The roots are n = -3 and n = 8.  Thus, the "negative solution" is -3

8 0
3 years ago
Other questions:
  • 127.5 is 250% of what?
    12·1 answer
  • 2000 tickets were sold in exhibit on Saturday the cost of a ticket for an adult is four dollars and for a child is two dollars a
    11·1 answer
  • Which is a zero of the quadratic function f(x)= 4x^2+24x+11 ?
    14·1 answer
  • 21-35a<br>Factor the following expression​
    7·1 answer
  • Identify the solid. A. triangular prism B. hexagonal prism C. right pyramid D. rectangular prism
    15·2 answers
  • The IQ scores and English test scores of fifth grade students is given by the regression line 9 = -26.7 +0.9346s, where y is the
    12·1 answer
  • The system x−6y=4, 3x−18y=4 has no solution.
    9·1 answer
  • Sketch a graph of the polynomial function f(x) =x3− 2x2. Use it to complete the following:
    6·1 answer
  • Please help ASAP this is timed
    15·1 answer
  • Evaluate the expression 23[1/4 +4(36÷12)]​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!