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
186 views
in Physics by (90.9k points)
closed by
Find a unit vector perpendicular to both the vectors `(2hat(i)+3hat(j)+hat(k))` and `(hat(i)-hat(j)-2hat(k))`.

1 Answer

0 votes
by (90.2k points)
selected by
 
Best answer
Let `vec(A)=2hat(i)+3hat(j)+hat(k)` and `vec(B)=hat(i)-hat(j)+2hat(k)`
Unit vector perpendicular to both `vec(A)` and `vec(B)` is `hat(n)=(vec(A)xxvec(B))/(|vec(A)xxvec(B)|)`
`vec(A)xxvec(B)=|(hat(i),hat(j),hatk),(2,3,1),(1,-1,2)|=hat(i)(6+1)-hat(j)(4-1)+hat(k)(-2-3)=7hat(i)-3hat(j)-5hat(k)`
`:.|vec(A)xxvec(B)|=sqrt(7^(2)+(-3)^(2)+(-5)^(2))=sqrt(83)` unit
`:. hat(n)=1/sqrt(83)(7hat(i)-3hat(j)-5k)`

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

...