Question

Given three vectors A = 24i + 33j, B = 55i - 12j and C = 2i + 43j (a) Find the magnitude of each vector. (b) Write an expression for the vector difference A - C. (c) Find the magnitude and direction of the vector difference A-B. (d) In a vector diagram show vector A + B, and A - B, and also show that your diagram agrees

Answer 1

Explanation:

a) magnitude of a vector xi^ + yj^ is

$\sqrt{ {x }^{2} + {y}^{2} }$

b) you can directly subtract vectors

c) LET |A-C|= X

• squaring on both sides
• mod A SQUARE PLUS MOD B SQUARE MINUS TWO TIMES THE SCALAR PRODUCT OF A AND B = X SQUARE
• Calculate x
• subtract vectors A AND B
• let it be xi^+ yj^
• tan theta = y/x
• theta gives the Direction