Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
+1 vote
3.2k views
in Vectors by (30.0k points)
closed by

If the vectors 4i + 11j + mk, 7i + 2j + 6k and i + 5j + 4k are coplanar, then m =

A. 0

B. 38

C. –10

D. 10

2 Answers

+2 votes
by (28.8k points)
selected by
 
Best answer

Correct option is D.10

Here, vector a, b, and c are coplanar. So, \([\vec a\,\,\vec b\,\,\vec c]\) = 0

∴ 4(8 - 30) - 11(28 - 6) + m(35 - 2)= 0

∴ 4(-22) - 11(22) + 33m = 0

∴ -88  - 242 + 33m = 0

∴ 33m = 330

∴ m = 10

+2 votes
by (1.7k points)

Hope you like the solution 

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...