Question

Rank the vector combinations on the basis of their magnitude.
Rank from largest to smallest. To rank items as equivalent, overlap them.
(F+C), (D), (A+E), (A+C), (A+D), (A+B)

Answer 1

The easiest way would be to add the vectors, when needed, by triangle law of vector addition. For example for F+C, bring C down to meet the arrow head of F. The net vector of this addition is the vector From F's tail to C's Head.

Answer 2

Also, when two vectors 1 and 2 point in opposite directions and are added together, the net magnitude = Vector1 - Vector2. As is in the case of A+E.

Answer 3

are u using the Pythagorean theorem

Answer 4

You can but don't need to, look at your attachment. The vector F is one block to the left from the vertical line, and C is one block long along the right. If vector C acts on vector F, F will be turned towards right by one block. So as a result of F+C, F becomes vertical, and its length remains two blocks.

Answer 5

so would it be like 2+1

Answer 6

here we are talking about vectors so remember that direction is also involved, its not simply 2+1, but 2 (along F) + 1 (along C) = the result is the straight line R joining them. Refer to the post above for R.

Answer 7

Imagine the vectors as movements along the four directions NORTH- EAST-SOUTH-WEST. When the movement is in the same direction like in A+C the net is simply 2+1; A+C = 3(East) but when we write F+C the net movement has a change in direction (where F meets C) so the effective movement is 2 units due north; F+C =2 (North). Similarly, A+D =2 (due North east), A+B = 2 (due South east). When the direction changes from right to left we are doubling back on our way so the effective movement is 1 unit due East;A+E =1 (East). And, D = 2 (North).