Question

the unit vector parallel to the resultant of the vectors A=4i+3j+6k and B=-i+3j-8k is​

Answer 1

Answer:

Explanation:

Two given vector is

Vecor of A=4i+3j+6k

Vector of B=-i+3j-8k

Then we find out the resultant by addition on A and B.

R=A+B

=(4i+3j+6k)+(-i+3j-8k)

=(4–1)i+(3+3)j+(6–8)k

= 3i+6j-2k

Module of resultant vector=

=√(3×3+6×6+2×2) =√(9+36+4)=√49=7

Unit vector

=resultant vector ÷modules of resultant vector

=3i+6j-2k÷7=(3÷7)i+(6÷7)j-(2÷7)k (ans)