Home Uncategorized How do you find the equation of the plane in xyz-space through the point ##p=(4, 5, 4)## and perpendicular to the vector ##n=(-5, -3, -4)##?
Uncategorized

How do you find the equation of the plane in xyz-space through the point ##p=(4, 5, 4)## and perpendicular to the vector ##n=(-5, -3, -4)##?

The answer is: ##5x+3y+4z-51=0##
Given a poiint ##P(x_p,y_p,z_p)## and a vector ##vecv(a,b,c)## perpendicular to the plane, the equation is:
##a(x-x_p)+b(y-y_p)+c(z-z_p)=0##
So:
##-5(x-4)-3(y-5)-4(z-4)=0rArr##
##-5x+20-3y+15-4z+16=0rArr##
##5x+3y+4z-51=0##

Save Time On Research and Writing
Hire a Pro to Write You a 100% Plagiarism-Free Paper.
Get My Paper
Hire a Writer
Calculate your order
Pages (275 words)
Standard price: $0.00
Client Reviews
4.9
Sitejabber
4.6
Trustpilot
4.8
Our Guarantees
100% Confidentiality
Information about customers is confidential and never disclosed to third parties.
Original Writing
We complete all papers from scratch. You can get a plagiarism report.
Timely Delivery
No missed deadlines – 97% of assignments are completed in time.
Money Back
If you're confident that a writer didn't follow your order details, ask for a refund.

Calculate the price of your order

You will get a personal manager and a discount.
We'll send you the first draft for approval by at
Total price:
$0.00
Power up Your Academic Success with the
Team of Professionals. We’ve Got Your Back.
Power up Your Study Success with Experts We’ve Got Your Back.
Order Now Order Now
Live Chat+1 763 309 4299EmailWhatsApp