Vector A vector is described Express the vector in terms of

Vector

A vector is described. Express the vector in terms of i and j. A quarterback releases a football with a speed of 38 feet per second at an angle of 60 degree with the horizontal. v =

Solution

i component of vector is given by

vi cos 60 deg = 38 cos 60 = 19i

where vi = initial speed

j component of vector is given by

vi sin 60 deg = 38 sin 60 = 19 sqrt 3 j

therefore,

v = 19i + 19 sqrt 3 j