Calculate the area of the triangle for which two of its sides are given by the vectorsvec(A) = 5 hat(i) - 3 hat(j) , vec(B) = 3 hat (i) + 5 hat(j)

Calculate the area of the triangle for which two of its sides are give

1.	Calculate the area of the triangle for which two of its sides are given by the vectorsvec(A) = 5 hat(i) - 3 hat(j) , vec(B) = 3 hat (i) + 5 hat(j)
Answer» Solution :Given :`vec(A) = 5 hat(i) - 3 hat(J)` `vec(B) = 3 hat(i) + 5 hat(j)` Formula: Area of the TRIANGLE`= (1)/(2) \|vec(A) xx vec(B)\|` `= (1)/(2) \|{:(5,3),(-3,5):}\|` `= (1)/(2) (25 - (-9)) = (34)/(2)` = 17 SQUARE units .