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