PHYS 1003 Lecture 3: [& 4]... (Freefall + Motion Vectors + Multi-dimensional Motion + Projectile (2D) Motion)
12 Oct 2016
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Unit vectors r = xi + yj + zk. The scalar components (x,y,z) have units of length, the unit vectors have no units, they just declare the direction. Using components of the vectors allows you to add/subtract them (in i, j, k notation) Can find the magnitude of a particular vector using pythagoras" theorem. Has a value of 9. 81 m/s^2 in canada. The magnitude of acceleration due to gravity is represented with g . A vector quantity, with the direction pointing towards the centre of the earth. ** in the absence of air, all objects will fall with the same acceleration (ie. the moon) There are three ways in which vectors can be multiplied. Multiplying the original vector by a scalar value, which maintains direction. A b = axbx + ayby + azbz. Not commutative [a x b = -(b x a)] The magnitude of the cross product is given by: l a x b l = absin(theta)
