Question

two vectors A and B lie in a plane another vector C like outside the plane the resultant a + b + c of these vector

Answer 1

Answer:

A + B + C = (a + c + g)i + (b + d + h)j + mk

Explanation:

Let the vectors A and B lie in the plane XY (arbitrary XY plane) and the vector is present outside the plane or any where in the space then

vectors A and B have two co ordinates that is

A = ai + bj

B = ci + dj

But vector C has three co ordinates that is

C = gi + hj + mk

where a , b , c, d ,g, ,h ,m are real numbers

and i , j , k are unit vectors along X ,Y and Z directions respectively.

NOW

A + B + C =  ai + bj + ci + dj + gi + hj + mk

A + B + C = (a + c + g)i + (b + d + h)j + mk

Hence

A + B + C = (a + c + g)i + (b + d + h)j + mk

Answer 2

Answer:

Give that two vectors A and B lie in a plane another vector C like outside the plane the resultant a + b + c of these vector. Therefore it will be zero, can’t be zero, lies in plane of A& B and lies in the plane of AxB. Hope the student can get ideas on following this answer.

Explanation: