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Magnitude ∣a∣=x2+y2+z2|a| = \sqrt{x^2 + y^2 + z^2}∣a∣=x2+y2+z2
Use the formula: distance = ∣∣A−B∣∣||A - B||∣∣A−B∣∣.
Unit vector = a/∣a∣a / |a|a/∣a∣, where ∣a∣|a|∣a∣ is its magnitude.
Unit vector = (6/53,1/53,4/53)(6/\sqrt{53}, 1/\sqrt{53}, 4/\sqrt{53})(6/53,1/53,4/53) with 53=62+12+42\sqrt{53} = \sqrt{6^2+1^2+4^2}53=62+12+42
They are multiples of each other: a=k∗ba = k*ba=k∗b.
Substitute kkk from one equation into another.
∣ξ∣=5λ2+μ2|\xi| = \sqrt{5\lambda^2 + \mu^2}∣ξ∣=5λ2+μ2
λ2+μ2=r2\lambda^2 + \mu^2 = r^2λ2+μ2=r2, where rrr is the magnitude.
Values of λ\lambdaλ are ±229\pm 2\sqrt{29}±229.
μ=−6\mu = -6μ=−6 when λ=4\lambda = 4λ=4.
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