Question

A: Given A= 3i + 5j/, B = -4i + j Find the A + B, A -B & A.B B: find the vector F directed from point (3,-5,2) to point (2,-2,1) in cartesian coordinates and find the unit vector along F​

Answer 1

Answer:

A: A=3i+5j B=-4i+j

Step-by-step explanation:

A+B=(3i+5j) + (-4i+j)

= 3i+5j-4i +j

A+B = - i+6j

A-B = (3i+5j)-(-4i+j)

= 3i+5j+4i-j

A-B = 7i+4j

A. B = (3i+5j).(-4i+j)

= 3i(-4i+j)+5j(-4i+j)

= - 12i^+3ij-20ij+5j^

Since, i^=-1 & j^=-1

= - 12(-1)-17ij-5

= 12-17ij-5

A.B = 7-17ij