Let u⇀ be a vector on rectangular coordinate system with sloping angle $$600$$, suppose that u→$$-i^$$ is geometric mean ofu and $$u-2i^$$ where $$i^$$ is the unit vector along $$x-axis$$ then the value of (2+1) u is

Question

Let u⇀ be a vector on rectangular coordinate system with sloping angle $$600$$, suppose that u→$$-i^$$ is geometric mean ofu and $$u-2i^$$  where $$i^$$ is the unit vector along $$x-axis$$ then the value of (2+1) u is

Infinity Learn · Accepted Answer

∵angle between u→and $$i^$$ is $$600$$  u→ . $$i^$$ $$=u$$→$$i^$$ $$cos$$ $$600=u$$→$$2$$ given that u→, u→$$-i^$$, u→$$-2i^$$  are in G.P.  u→$$-i^2$$ $$=$$ u→ u→$$-2i^$$ squarring on both sides​​​​​u→$$2+$$ $$i^2$$−$$2$$  u¯.$$i^2=u$$→$$2$$   u→$$2+4i^2$$−$$4$$  u→.$$i^$$​u→$$2+$$ $$1$$−$$2$$  u→$$22=u$$→$$2$$   u→$$2+4x1$$−$$4u$$→$$2$$​u→$$2+2u$$→−$$1=0$$​​u→ $$=$$−$$2$$±$$222$$​u→$$=2$$−$$1$$

Dot product or scalar product of vectors

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Dot product or scalar product of vectors

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Let u⇀ be a vector on rectangular coordinate system with sloping angle 600, suppose that u→-i^ is geometric mean ofu and u-2i^ where i^ is the unit vector along x-axis then the value of (2+1) u is

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free study material