JEE Exam  >  JEE Questions  >  The perimeter of a triangle formed by 3i+4j+5... Start Learning for Free
The perimeter of a triangle formed by 3i+4j+5k, 4i-3j-5k and 7i+j is
  • a)
    √450
  • b)
    √150
  • c)
    √50
  • d)
    √200
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The perimeter of a triangle formed by 3i+4j+5k, 4i-3j-5k and 7i+j isa)...
First, we need to find the distance between each pair of points, using the distance formula:

d = √((x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2)

For the first two points:

d1 = √((4 - 3)^2 + (-3 - 4)^2 + (-5 - 5)^2) = √(1 + 49 + 100) = √150

For the second two points:

d2 = √((7 - 3)^2 + (0 - 4)^2 + (0 - (-5))^2) = √(16 + 16 + 25) = √57

For the last two points:

d3 = √((7 - 4)^2 + (0 - 4)^2 + (0 - 5)^2) = √(9 + 16 + 25) = √50

Now we can add up the distances to get the perimeter:

P = d1 + d2 + d3 = √150 + √57 + √50

This is the exact value of the perimeter. If we want an approximate value, we can use a calculator or a decimal approximation of the square roots:

P ≈ 12.247 + 7.55 + 7.071 ≈ 26.868

So the perimeter of the triangle is approximately 26.868.
Free Test
Community Answer
The perimeter of a triangle formed by 3i+4j+5k, 4i-3j-5k and 7i+j isa)...
Add all the vector quantities and find modulus of the resulting vector... you'll get your answer
Explore Courses for JEE exam
The perimeter of a triangle formed by 3i+4j+5k, 4i-3j-5k and 7i+j isa)√450b)√150c)√50d)√200Correct answer is option 'A'. Can you explain this answer?
Question Description
The perimeter of a triangle formed by 3i+4j+5k, 4i-3j-5k and 7i+j isa)√450b)√150c)√50d)√200Correct answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The perimeter of a triangle formed by 3i+4j+5k, 4i-3j-5k and 7i+j isa)√450b)√150c)√50d)√200Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The perimeter of a triangle formed by 3i+4j+5k, 4i-3j-5k and 7i+j isa)√450b)√150c)√50d)√200Correct answer is option 'A'. Can you explain this answer?.
Solutions for The perimeter of a triangle formed by 3i+4j+5k, 4i-3j-5k and 7i+j isa)√450b)√150c)√50d)√200Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of The perimeter of a triangle formed by 3i+4j+5k, 4i-3j-5k and 7i+j isa)√450b)√150c)√50d)√200Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of The perimeter of a triangle formed by 3i+4j+5k, 4i-3j-5k and 7i+j isa)√450b)√150c)√50d)√200Correct answer is option 'A'. Can you explain this answer?, a detailed solution for The perimeter of a triangle formed by 3i+4j+5k, 4i-3j-5k and 7i+j isa)√450b)√150c)√50d)√200Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of The perimeter of a triangle formed by 3i+4j+5k, 4i-3j-5k and 7i+j isa)√450b)√150c)√50d)√200Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice The perimeter of a triangle formed by 3i+4j+5k, 4i-3j-5k and 7i+j isa)√450b)√150c)√50d)√200Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice JEE tests.
Explore Courses for JEE exam

Top Courses for JEE

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev