1. An 8x8 chessboard has a square cell (or box, like square al) which measures n inches on one side. 8 7 6 5 4 3 1 ь с de f g h a You can treat each piece as a point in the middle. Let the middle of the chessboard be (0,0). From this chessboard, an L-move for the horse a in bl is either at a3 or c3. (a) and your first move is the knight in gl. (You will be moving the knight in gl to the 3rd row) i. Express the two possible moves of your knight in vector form with units in inches. ii. What are the distances of each possible move from your original position in inches? iii. What are their angles from the horizontal (x-axis)? Suppose you do not know (as a dummy) any other moves except for knight (moving in L move) Suppose your enemy is also you and your move is also a knight in b8. (b) i. Express the two possible moves of your knight in vector form with units in inches. ii. What are the distances of each possible move from your original position in inches? iii. What are their angles from the horizontal (x-axis)?
1. An 8x8 chessboard has a square cell (or box, like square al) which measures n inches on one side. 8 7 6 5 4 3 1 ь с de f g h a You can treat each piece as a point in the middle. Let the middle of the chessboard be (0,0). From this chessboard, an L-move for the horse a in bl is either at a3 or c3. (a) and your first move is the knight in gl. (You will be moving the knight in gl to the 3rd row) i. Express the two possible moves of your knight in vector form with units in inches. ii. What are the distances of each possible move from your original position in inches? iii. What are their angles from the horizontal (x-axis)? Suppose you do not know (as a dummy) any other moves except for knight (moving in L move) Suppose your enemy is also you and your move is also a knight in b8. (b) i. Express the two possible moves of your knight in vector form with units in inches. ii. What are the distances of each possible move from your original position in inches? iii. What are their angles from the horizontal (x-axis)?
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Physics problem. Answer letter B only.
Transcribed Image Text:1. An 8x8 chessboard has a square cell (or box, like square al) which measures n inches on one side.
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宣小鱼曾当鱼の置
a b c de f g h
You can treat each piece as a point in the middle. Let the middle of the chessboard be (0,0).
From this chessboard, an L-move for the horse a in bl is either at a3 or c3.
(a)
and your first move is the knight in gl. (You will be moving the knight in gl to the 3rd row)
i. Express the two possible moves of your knight in vector form with units in inches.
ii. What are the distances of each possible move from your original position in inches?
iii. What are their angles from the horizontal (x-axis)?
Suppose you do not know (as a dummy) any other moves except for knight (moving in L move)
(b)
i. Express the two possible moves of your knight in vector form with units in inches.
ii. What are the distances of each possible move from your original position in inches?
iii. What are their angles from the horizontal (x-axis)?
Suppose your enemy is also you and your move is also a knight in b8.
A fianchetto is a special move sequence that chess players use to achieve quick development of
(c)
the bishop . The first move of the fianchetto involves pushing the pawn A(those located on the second
row) on the b- or g-file one or two squares forward. Once the pawn moves, the bishop can be developed to
the second rank. Suppose you moved the pawn in g2 two squares forward. You fianchetto-ed the bishop to
the second row (rank). Express that move in vector form (unit in centimeters).
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