Question

a boat is moving in direction -4i cap =3j cap with a speed of 10m/s. velocity vector of boat in unit vector notation can be expressed as

Answer 1

Given:

A boat is moving in direction -4i cap =3j cap with a speed of 10m/s.  

To find:

Velocity vector of boat in unit vector notation can be expressed as

Solution:

From given, we have,

A boat is moving in direction -4i cap = 3j cap with a speed of 10m/s.  

The velocity vector of boat in unit vector notation can be expressed as

-4i cap = 3j cap

3j cap + 4i cap = 0

V = 10 {4i/√[3² + 4²] + 3j/√[3² + 4²] }

V = 10{4i/5 + 3j/5}

V = 2{4i + 3j}

V = 8i + 6j

Therefore, the velocity vector of boat in unit vector notation can be expressed as V = 8i + 6j m/s