Question

If a= 3i+4j and b=7i+24j the vector having the same magnitude as b and parallel to a is

Answer 1

Answer:

15i + 20j

Step-by-step explanation:

If a= 3i+4j and b=7i+24j the vector having the same magnitude as b and parallel to a is

a = 3i+4j

b=7i+24j

c = the vector having the same magnitude as b and parallel to a

c = 3mi + 4mj   ( parallel to a)

Magnitude of b = √7² + 24² = √49 + 576 = √625 = 25

Magnitude of c = √3m² + 4m² = √9m² + 16m² = √25m² = 5m

5m = 25

=> m = 5

c = 3*5i + 4*5j = 15i + 20j

the vector having the same magnitude as b and parallel to a 15i + 20j

Answer 2

Answer:

15i + 20j is the correct answer.