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If {{a}} and {{b}} are non-collinear vectors and {{A}}={({p}+{

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If $a$ and $b$ are non-collinear vectors and \displaystyle\vec{{A}}={\left({p}+{4}{q}\right)}\vec{{a}}={\left({2}{p}+{q}+{1}\right)}\vec{{b}}{a}{n}{d}\vec{{B}}={\left(-{2}{p}+{q}+{2}\right)}\vec{{a}}+{\left({2}{p}-{3}{q}-{1}\right)}\vec{{b}} ,a n d if $3 A = 2 B$ , then determine p and q.

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a

and

b

are non-collinear vectors and \displaystyle\vec{{A}}={\left({p}+{4}{q}\right)}\vec{{a}}={\left({2}{p}+{q}+{1}\right)}\vec{{b}}{a}{n}{d}\vec{{B}}={\left(-{2}{p}+{q}+{2}\right)}\vec{{a}}+{\left({2}{p}-{3}{q}-{1}\right)}\vec{{b}} ,a n d if

3 A = 2 B

, then determine p and q.

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Question Text

a

and

b

3 A = 2 B

, then determine p and q.

If $a$ and $b$ are non-collinear vectors and \displaystyle\vec{{A}}={\left({p}+{4}{q}\right)}\vec{{a}}={\left({2}{p}+{q}+{1}\right)}\vec{{b}}{a}{n}{d}\vec{{B}}={\left(-{2}{p}+{q}+{2}\right)}\vec{{a}}+{\left({2}{p}-{3}{q}-{1}\right)}\vec{{b}} ,a n d if $3 A = 2 B$ , then determine p and q.

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Practice questions from similar books

If a and b are non-collinear vectors and \displaystyle\vec{{A}}={\left({p}+{4}{q}\right)}\vec{{a}}={\left({2}{p}+{q}+{1}\right)}\vec{{b}}{a}{n}{d}\vec{{B}}={\left(-{2}{p}+{q}+{2}\right)}\vec{{a}}+{\left({2}{p}-{3}{q}-{1}\right)}\vec{{b}} ,a n d if3A=2B , then determine p and q.

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Practice questions from similar books

If $a$ and $b$ are non-collinear vectors and \displaystyle\vec{{A}}={\left({p}+{4}{q}\right)}\vec{{a}}={\left({2}{p}+{q}+{1}\right)}\vec{{b}}{a}{n}{d}\vec{{B}}={\left(-{2}{p}+{q}+{2}\right)}\vec{{a}}+{\left({2}{p}-{3}{q}-{1}\right)}\vec{{b}} ,a n d if $3 A = 2 B$ , then determine p and q.