Find the scalar product, norms, and distance between ce and u where re=(2, 1-3, 0,4) and u= (5,-3,-1, 2, 7). Also verrify. Cauchy - Schwartz, Minkowsk's (triangle) inequality and Pythagorean Theorem.
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Two spheres A and B, each of volume 100 cm are placed on water (density = 1.0g g cm^-3"). The sphere A is made of wood of density 0-3 g em and the sphere B is made of iron of density 8.9 g cm? (a) Find : (i) the weight of each sphere, and (ii) the upthrust on each sphere. (b) Which sphere will float ? Give reason.
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