If vector a + vector b=(5,6) and vector a - vector b =(3,2), find vector a and vector b.
Jan 29, 2022 Replies: 1 If vector a + vector b=(5,6) and vector a - vector b =(3,2), find vector a and vector b. Click to expand...
K kvishal9956 New member Jul 15, 2023 #2 Let's assume vector a = (a1, a2) and vector b = (b1, b2). Given: vector a + vector b = (5, 6) -- (Equation 1) vector a - vector b = (3, 2) -- (Equation 2) Adding Equation 1 and Equation 2, we get: 2 * vector a = (5, 6) + (3, 2) 2 * vector a = (8, 8) vector a = (4, 4) Subtracting Equation 2 from Equation 1, we get: 2 * vector b = (5, 6) - (3, 2) 2 * vector b = (2, 4) vector b = (1, 2) Therefore, vector a = (4, 4) and vector b = (1, 2).
Let's assume vector a = (a1, a2) and vector b = (b1, b2). Given: vector a + vector b = (5, 6) -- (Equation 1) vector a - vector b = (3, 2) -- (Equation 2) Adding Equation 1 and Equation 2, we get: 2 * vector a = (5, 6) + (3, 2) 2 * vector a = (8, 8) vector a = (4, 4) Subtracting Equation 2 from Equation 1, we get: 2 * vector b = (5, 6) - (3, 2) 2 * vector b = (2, 4) vector b = (1, 2) Therefore, vector a = (4, 4) and vector b = (1, 2).
