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Category: Vector

A-vector-A-of-magnitude-A-is-turned-through-an-angle-Calculate-the-change-in-the-magnitude-of-vector-

Question Number 15448 by Tinkutara last updated on 10/Jun/17 $$\mathrm{A}\:\mathrm{vector}\:\overset{\rightarrow} {{A}}\:\mathrm{of}\:\mathrm{magnitude}\:{A}\:\mathrm{is}\:\mathrm{turned} \\ $$$$\mathrm{through}\:\mathrm{an}\:\mathrm{angle}\:\theta.\:\mathrm{Calculate}\:\mathrm{the} \\ $$$$\mathrm{change}\:\mathrm{in}\:\mathrm{the}\:\mathrm{magnitude}\:\mathrm{of}\:\mathrm{vector}. \\ $$ Commented by prakash jain last updated on 10/Jun/17…

If-a-b-c-are-mutually-perpendicular-vectors-of-equal-magnitudes-show-that-the-vector-a-b-c-is-equally-inclined-to-a-b-and-c-

Question Number 15358 by Tinkutara last updated on 09/Jun/17 $$\mathrm{If}\:\overset{\rightarrow} {{a}},\:\overset{\rightarrow} {{b}},\:\overset{\rightarrow} {{c}}\:\mathrm{are}\:\mathrm{mutually}\:\mathrm{perpendicular} \\ $$$$\mathrm{vectors}\:\mathrm{of}\:\mathrm{equal}\:\mathrm{magnitudes},\:\mathrm{show}\:\mathrm{that} \\ $$$$\mathrm{the}\:\mathrm{vector}\:\overset{\rightarrow} {{a}}\:+\:\overset{\rightarrow} {{b}}\:+\:\overset{\rightarrow} {{c}}\:\mathrm{is}\:\mathrm{equally}\:\mathrm{inclined} \\ $$$$\mathrm{to}\:\overset{\rightarrow} {{a}},\:\overset{\rightarrow} {{b}}\:\mathrm{and}\:\overset{\rightarrow} {{c}}\:.…

Let-a-i-4j-2k-b-3i-2j-7k-and-c-2i-j-4k-Find-a-vector-d-which-is-perpendicular-to-both-a-and-b-and-c-d-15-

Question Number 15352 by Tinkutara last updated on 09/Jun/17 $$\mathrm{Let}\:\overset{\rightarrow} {{a}}\:=\:\overset{\wedge} {{i}}\:+\:\mathrm{4}\overset{\wedge} {{j}}\:+\:\mathrm{2}\overset{\wedge} {{k}},\:\overset{\rightarrow} {{b}}\:=\:\mathrm{3}\overset{\wedge} {{i}}\:−\:\mathrm{2}\overset{\wedge} {{j}}\:+\:\mathrm{7}\overset{\wedge} {{k}} \\ $$$$\mathrm{and}\:\overset{\rightarrow} {{c}}\:=\:\mathrm{2}\overset{\wedge} {{i}}\:−\:\overset{\wedge} {{j}}\:+\:\mathrm{4}\overset{\wedge} {{k}}\:.\:\mathrm{Find}\:\mathrm{a}\:\mathrm{vector}\:\overset{\rightarrow} {{d}}…

Solve-the-equation-z-2-2-1-j-z-2-0-Givin-each-result-in-form-a-jb-with-a-and-b-correct-to-2dp-

Question Number 15348 by tawa tawa last updated on 09/Jun/17 $$\mathrm{Solve}\:\mathrm{the}\:\mathrm{equation}\:\:\mathrm{z}^{\mathrm{2}} \:+\:\mathrm{2}\left(\mathrm{1}\:+\:\mathrm{j}\right)\mathrm{z}\:+\:\mathrm{2}\:=\:\mathrm{0},\:\mathrm{Givin}\:\mathrm{each}\:\mathrm{result}\:\mathrm{in}\:\mathrm{form}\:\:\mathrm{a}\:+\:\mathrm{jb} \\ $$$$\mathrm{with}\:\:\mathrm{a}\:\:\mathrm{and}\:\:\mathrm{b}\:\:\mathrm{correct}\:\mathrm{to}\:\:\mathrm{2dp}. \\ $$ Answered by RasheedSoomro last updated on 10/Jun/17 $$\mathrm{Let}\:\mathrm{z}=\mathrm{x}+\mathrm{jy} \\…