MATH SOLVE

5 months ago

Q:
# Find the quantity if v=5i-7j and w=3i+2j

Accepted Solution

A:

We desire to discover the value of ||v+w||

if v=5i-7j and w=3i+2j

|r| =../r.+..r .....√...1....2

if r = r(1)i +r(2)j

We first find the value of

v+ w by adding v(1) +w(1) = 5+3 = 8 and by adding v(2) +w(2) = -7+2 = -5

so v+w = 8i -5j

and

|v+w| = √8²+(-5)²

=√64 + 25

=√89

= 9.43398113

if v=5i-7j and w=3i+2j

|r| =../r.+..r .....√...1....2

if r = r(1)i +r(2)j

We first find the value of

v+ w by adding v(1) +w(1) = 5+3 = 8 and by adding v(2) +w(2) = -7+2 = -5

so v+w = 8i -5j

and

|v+w| = √8²+(-5)²

=√64 + 25

=√89

= 9.43398113