Question

2. If a =3î + 4j and b = 7î + 24j, then find the vector hav-
ing the same magnitude as that of b and parallel to å.
​

Answer 1

Magnitude of A = √3²+4²=5 (WHOLE ROOT)

Magnitude of B = √7²+24²= 25

Now a unit vector parallel to A vector= 3i+4j/5

Therefore, the vector having same magnitude as B and parallel to A :

(magnitude of B × unit vector parallel to A)

= 25× 3i+4j/5

= 15i+20j

Answer 2

Explanation:

∣

∣

∣

∣

b

∣

∣

∣

∣

=

3

2

+4

2

=5

unit vector ∥ to

a

^

=

2

1

i

^

−

2

1

j

^

∴ Required Vector =∣b∣.

a

^

=

2

5

i

^

−

2

5

j

^

.