Question

4Find a unit vector in the direction of the resultant of vectors À = 2i – 3j+k, B = i + j +
2k and C = 3i-2j + 4k​

Answer 1

see attachment below....

Answer 2

Answer:

(6i-4j+7k)/√101

Explanation:

Suppose, X is a resultant vector.

X=A+B+C

=>(2i-3j+k)+(i+j+2k)+(3i-2j+4k)

=>(2i+i+3i , -3j+j-2j , k+2k+4k)

=>(6i , -4j , 7k)

=>6i-4j+7k

Unit vector X

= vector X / mod of X

=(6i-4j+7k) / √(6)²+(-4)²+(7)²

=(6i-4j+7k) / √36+16+49

=(6i-4j+7k) / √101