Question

If A = 3i+4j, B = 7i+ 2jand Ċ =i-3j; then find a vector that is perpendicular to plane containing A and B and has magnitude equal to c​

Answer 1

Answer:

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