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
0 votes
5.2k views
in Vectors by (48.8k points)
closed by

Find a vector of magnitude 6, which is perpendicular to both the vectors \(2 \hat i - \hat j + 2 \hat k\)  and \(4 \hat i - \hat j + 3 \hat k.\)

1 Answer

+1 vote
by (50.2k points)
selected by
 
Best answer

Let the vectors be \(\vec a\) and \(\vec b\), such that

We need to find a vector perpendicular to both the vectors \(\vec a\) and \(\vec b\).

Any vector perpendicular to both \(\vec a\) and \(\vec b\) can be given as,

As we know, a unit vector in a normed vector space is a vector (often a spatial vector) of length 1.

So,

A vector of magnitude 6 in the direction of \(\vec r\) is given by,

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

...