find magnitude of vector 3.5 m 20 degrees

Question 6: Calculate the components of vector u whose magnitude is 5 and direction given by the angle in standard position and equal to 270°. The terminal side of - 6u is in quadrant III, hence θ = 180 + arctan(1) = 225 °,īecause of the multiplication of u by - 6 the magnitude of - 6 u is 6 times the magnitude of u but the direction has changed by 180° because the terminal side of - 6 u is opposite to the terminal side of u this is due to the minus sign of - 6. The terminal side of u is in quadrant I, hence θ = arctan(1) = 45°, Question 5: Calculate and compare the magnitude and direction of the vector u and - 6 u with u given byĪpply the scalar multiplication rule to find - 6 u. The terminal side of 3 u is in quadrant I, hence θ 2 = arctan(1/4) ≅ 14.04°,īecause of the multiplication of u by 3 the magnitude of 3 u is 3 times the magnitude of u but the direction does not change. The terminal side of u is in quadrant I, hence θ 1 = arctan(1/4) ≅ 14.04°,ĭirection of 3 u: θ 2: tan(θ 2) = 3 / 12 = 1 / 4 Question 4: Calculate and compare the magnitude and direction of the vector u and 3 u with u given byģ u is calculated by applying the scalar multiplication rule The terminal side of u is in quadrant III, hence θ = 180 + arctan(√3) = 180 + 60 = 240° , Question 3: Calculate the magnitude and direction of vector v given by its components as The terminal side of u is in quadrant II, hence θ = 180° - arctan(1 / √3) = 180 - 30 = 150° , Question 2: Calculate the magnitude and direction of vector u given by its components as The terminal side of v is in quadrant I, hence θ = arctan(1) = 45° ,

If vector v is defined by its components as follows v =, its magnitude || v || is given byĪnd its direction defined as the angle θ in standard position of the terminal side through the origin and point with coordinates (a, b).Īngle θ is found by solving the trigonometric equation

Find the Magnitude and Direction of a Vectorįind the magnitude and direction of vectors questions with solutions.

Find magnitude of vector 3.5 m 20 degrees