Question

1.

(a) In unit-vector notation, what is the sum of a - ! 3.4 m ji + 2.1 m |j and b-Ί-14.0 m i + 17.9 m |j . what are (b) the magnitude and (c) the direction of a + b (relative to i )? (a) Number Units (b) Number Units (c) Number Units

2.

The two vectors a and b in the figure have equal magnitudes of 11.9 m and the angles are θ,-30° and θ2-1060. Find (a) the x and (d) the angle makes with the positive component and (b) the y component of their vector sum , (c) the magnitude of direction of the x axis. Units T m (a) Numbef1.74555 (b) Number [19.70544 (c) Number19.7826 (d) Number 84.95747311 Units m Units Tm UnitsTo (degrees)

3.

Displacement d 1 is in the yz plane 59.3 from the positive direction of the y axis, has a positivez component, and has a magnitude of 4.76 m. Displacement d 2 is in the xz plane 38.2 from the positive direction of the x axis, has a positive z component, and has magnitude 2.07 m. what are (a) d 1 . ợ 2 , (b) the x component of Ơ , x ợ 2 , (c) the y component of d ï x ợ 2 , (d) the z component of Ơ , x ợ2 , and (e) the angle between di and d2 7 (a) Number (b) Number (c) Number (d) Number (e) Number Units Units Units Units

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