![]() 3.Eercise 3.7 Given vectors = i + j + k, = i 3j k nd c = 3i + k: epress d = 3 nd e = +4c in component form find the mgnitudes of the vectors d nd e (c) evlute, nd write down unit vector in the direction of (d) find the components of vector such tht + =. Mgnitude of three-dimensionl vector in component form If = Q = i + j + 3 k, where the points nd Q hve coordintes (p,p,p 3 )nd(q,q,q 3 ), respectivel, then = + + = (q p ) +(q p ) +(q 3 p 3 ). The length N is +, nd A = N + NA.But A =, thus = z A 3 k i + 3 j N Figure 3.5 This cn e summrized s follows. The mgnitude of vector in terms of its components, 3 cn e found using thgors s Theorem (see Figure 3.5).
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