Question: Find the distance from the point ( 7 , - 5 , 3 ) t o the line a ( t ) = ( :

Find the distance from the point (7,-5,3)to the line
a(t)=(:-2,-1,2:)t+(:-6,-4,6:).
Find the distance from the point ( 7 , - 5 , 3 )

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

11. Find the angle between the planes. (a) 2r-y+:-5 andr+y=:= 1. (b) z-y-2:-10 and z-y-2: -5. 12. Find the Cartesian equation of the line passing through P(2, 3, 1) and parallel to the line of...

Q:

\f(1 point) Find the distance between the skew lines P(t) = (5, 5, -5) + t (0, -1, -4) and Q(t) = (2, 1, 3) + t (-4, 1, -4). Hint: Take the cross product of the slope vectors of P and @ to find a...

Q:

1) [2K] Determine the distance between the point P(2, -5) and the line L : T = (-4,0) + 1(2, 3), te R. 2) [2K] Determine whether r = -1, y = 3 and 2 = 5 is a solution to the system: a) 4x - 2y + 2=...

Q:

1) [2K] Determine the distance between the point P(2, -5) and the line L: 7 = (-4,0) + 1(2,3), te R. 2) [2K] Determine whether r = -1, y =3 and 2 = 5 is a solution to the system: a) 4x - 2y + 2=-5 b)...

Q:

1) [2K] Determine the distance between the point P(2, -5) and the line L : T = (-4,0) + 1(2, 3), te R. 2) [2K] Determine whether r = -1, y = 3 and 2 = 5 is a solution to the system: a) 4x - 2y + 2=...

Q:

5. [-I2 Points] DETAILS SESSCALCZ 10.3.032. MY NOTES ASK YOUR TEACHER Find the scalar and vector projections of b onto a. a=i+j+k, b=ij+k compab =' projab = ' Need Help? Submit Answer 5- [-11 Points]...

Q:

(a) Use a scalar projection to derive the formula la$+bg cl which is the distance between the point (5:, 37) and the line ax + by = c. (b) Use the cross product to derive the distance formula between...

Q:

(1 point) Find an equation for the plane through the points (3, 3, 3), (1, -1, 0), (-2, 0, 2). The plane is(1 point) Find the distance the point P(-6, 9, 3), is to the plane through the three points...

Q:

9. [-/5 Points] DETAILS Determine the point at which the line passing through the points P(1, 0, 6) and Q(3, -1, 3) intersects the plane given by the equation x + y - z = 3. (x, y, z) = Submit Answer...

Q:

Find the distance from the point Q) = (-5, 1, -2) to the plane : - 7 + 32 = 8.\fFind the point on the line y = 4x + 1 that is closest to the point (6, 6) . Point = (4 4 Let y = -1 and 1 = -2 -7 -7...

Q:

Find the proceeds of a $4200, non-interest-bearing note due August 1, 2023, discounted on March 1, 2019, at 7.5% compounded monthly.

Q:

Oxygen gas in a piston cylinder at 300 K, 100 kPa with volume 0.1 m3 is compressed in a reversible adiabatic process to a final temperature of 700 K. Find the final pressure and volume using constant...

Q:

Your gross income needed after retirement divided by your gross income before retirement is your _ _ _ _ _ . a . retirement nest egg b . retirement ratio c . retirement savings goal d . replacement...

Q:

What are some food related health care issues that inner cities are more likely to see than more affluent areas? Why are certain areas most likely to experience inadequate healthy food options than...