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Category: Vector

Question-27673

Question Number 27673 by ajfour last updated on 12/Jan/18 Commented by ajfour last updated on 12/Jan/18 $${Find}\:{vector}\:{eq}.\:{of}\:{blue}\:{line}\:{in} \\ $$$${given}\:{plane}\:{that}\:{makes}\:\:{a}\:{minimum} \\ $$$${angle}\:{with}\:{the}\:{given}\:{red}\:{line}. \\ $$ Terms of…

A-positive-number-has-8-distinct-divisors-Lets-say-a-b-c-d-e-f-g-and-h-Given-a-b-c-d-e-f-g-h-3111696-Find-that-number-

Question Number 27651 by Joel578 last updated on 12/Jan/18 $$\mathrm{A}\:\mathrm{positive}\:\mathrm{number}\:\mathrm{has}\:\mathrm{8}\:\mathrm{distinct}\:\mathrm{divisors} \\ $$$$\mathrm{Lets}\:\mathrm{say}\:{a},\:{b},\:{c},\:{d},\:{e},\:{f},\:{g}\:\mathrm{and}\:{h} \\ $$$$\mathrm{Given}\:\:{a}\:.\:{b}\:.\:{c}\:.\:{d}\:.\:{e}\:.\:{f}\:.\:{g}\:.\:{h}\:=\:\mathrm{3111696} \\ $$$$\mathrm{Find}\:\mathrm{that}\:\mathrm{number} \\ $$ Commented by Joel578 last updated on 12/Jan/18…

determine-the-angle-between-two-vectors-A-4ax-ay-3az-and-B-2ax-4ay-3az-

Question Number 158081 by Eric002 last updated on 30/Oct/21 $${determine}\:{the}\:{angle}\:{between}\:{two}\:{vectors} \\ $$$${A}=\mathrm{4}{ax}+{ay}−\mathrm{3}{az}\:\:{and}\:\:{B}=\mathrm{2}{ax}+\mathrm{4}{ay}−\mathrm{3}{az} \\ $$ Answered by ajfour last updated on 30/Oct/21 $$\mathrm{cos}\:\theta=\frac{\mathrm{4}\left(\mathrm{2}\right)+\mathrm{1}\left(\mathrm{4}\right)−\mathrm{3}\left(−\mathrm{3}\right)}{\:\sqrt{\mathrm{4}^{\mathrm{2}} +\mathrm{1}^{\mathrm{2}} +\left(−\mathrm{3}\right)^{\mathrm{2}} }\sqrt{\mathrm{2}^{\mathrm{2}}…