JEE Exam  >  JEE Questions  >  If the dot product of vector i+j+k and the un... Start Learning for Free
If the dot product of vector i+j+k and the unit vector along the sum of vectors 2i+4j-5k and λi+2j+3k is 1, then λ=
  • a)
    5
  • b)
    2
  • c)
    3
  • d)
    1
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
If the dot product of vector i+j+k and the unit vector along the sum o...
This question is part of UPSC exam. View all JEE courses
Most Upvoted Answer
If the dot product of vector i+j+k and the unit vector along the sum o...
Let's calculate the dot product step by step:

The dot product of vector i, j, and k with the unit vector along the sum of vectors (2i, 4j, -5k) and (6i, -3j, 2k) can be calculated as follows:

i • (2i + 6i) = 2 + 6 = 8
j • (4j - 3j) = 4 - 3 = 1
k • (-5k + 2k) = -5 + 2 = -3

Therefore, the dot product of vector i, j, k with the unit vector along the sum of vectors (2i, 4j, -5k) and (6i, -3j, 2k) is 8i + 1j - 3k.
Explore Courses for JEE exam
If the dot product of vector i+j+k and the unit vector along the sum of vectors 2i+4j-5k and λi+2j+3k is 1, then λ=a)5b)2c)3d)1Correct answer is option 'D'. Can you explain this answer?
Question Description
If the dot product of vector i+j+k and the unit vector along the sum of vectors 2i+4j-5k and λi+2j+3k is 1, then λ=a)5b)2c)3d)1Correct answer is option 'D'. 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 If the dot product of vector i+j+k and the unit vector along the sum of vectors 2i+4j-5k and λi+2j+3k is 1, then λ=a)5b)2c)3d)1Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the dot product of vector i+j+k and the unit vector along the sum of vectors 2i+4j-5k and λi+2j+3k is 1, then λ=a)5b)2c)3d)1Correct answer is option 'D'. Can you explain this answer?.
Solutions for If the dot product of vector i+j+k and the unit vector along the sum of vectors 2i+4j-5k and λi+2j+3k is 1, then λ=a)5b)2c)3d)1Correct answer is option 'D'. 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 If the dot product of vector i+j+k and the unit vector along the sum of vectors 2i+4j-5k and λi+2j+3k is 1, then λ=a)5b)2c)3d)1Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of If the dot product of vector i+j+k and the unit vector along the sum of vectors 2i+4j-5k and λi+2j+3k is 1, then λ=a)5b)2c)3d)1Correct answer is option 'D'. Can you explain this answer?, a detailed solution for If the dot product of vector i+j+k and the unit vector along the sum of vectors 2i+4j-5k and λi+2j+3k is 1, then λ=a)5b)2c)3d)1Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of If the dot product of vector i+j+k and the unit vector along the sum of vectors 2i+4j-5k and λi+2j+3k is 1, then λ=a)5b)2c)3d)1Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice If the dot product of vector i+j+k and the unit vector along the sum of vectors 2i+4j-5k and λi+2j+3k is 1, then λ=a)5b)2c)3d)1Correct answer is option 'D'. 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