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Recent questions tagged vector-product

If $\overrightarrow a=\hat i-\hat j+2\hat k, \:\:\overrightarrow b=2\hat i+4\hat j+\hat k\:\:and\:\:\overrightarrow c=\lambda \hat i+\hat j+\mu k$ are mutually $\perp$ then $(\lambda,\mu)=?$

asked Nov 5, 2013 by rvidyagovindarajan_1

1 answer

If $\overrightarrow a\;and\:\overrightarrow b$ are unit vectors and if vectors $\overrightarrow c=\overrightarrow a+2\overrightarrow b$ and $\overrightarrow d=5\overrightarrow a-4\overrightarrow b$ are $\perp$ to each other, then the angle between $\overrightarrow a\;and\:\overrightarrow b$ is ?

asked Nov 4, 2013 by rvidyagovindarajan_1

1 answer

If $\overrightarrow a$ and $\overrightarrow b$ are such that $|\overrightarrow a+\overrightarrow b|=\sqrt {29}$ and $\overrightarrow a\times (2\hat i+3\hat j+4\hat k)=(2\hat i+3\hat j+4\hat k) \times \overrightarrow b$, then the possible value of $(\overrightarrow a+\overrightarrow b).(-7\hat i+2\hat j+3\hat k)=?$

asked Nov 4, 2013 by rvidyagovindarajan_1

1 answer

If $\overrightarrow a=\hat i-\hat k,\:\overrightarrow b=x\hat i+\hat j+(1-x)\hat k\:and\:\overrightarrow c=y\hat i+x\hat j+(1+x-y)\hat k$, then $[\overrightarrow a\:\overrightarrow b\:\overrightarrow c]$ depends on?

asked Nov 4, 2013 by rvidyagovindarajan_1

1 answer

If $\overrightarrow a=\hat i-\hat k,\:\overrightarrow b=x\hat i+\hat j+(1-x)\hat k\:and\:\overrightarrow c=y\hat i+x\hat j+(1+x-y)\hat k$, then $[\overrightarrow a\:\overrightarrow b\:\overrightarrow c]$ depends on?

asked Nov 4, 2013 by rvidyagovindarajan_1

1 answer

$(\overrightarrow a+\overrightarrow b+\overrightarrow c).[(\overrightarrow a+\overrightarrow b)\times (\overrightarrow a+\overrightarrow c)]=?$

asked Nov 1, 2013 by rvidyagovindarajan_1

1 answer

If $\overrightarrow p,\overrightarrow q$ are non collinear vectors, then $[\hat i\:\overrightarrow p\:\overrightarrow q]\hat i+[\hat j\:\overrightarrow p\:\overrightarrow q]\hat j+[\hat k\:\overrightarrow p\:\overrightarrow q]\hat k$=?

asked Nov 1, 2013 by rvidyagovindarajan_1

1 answer

If $|\overrightarrow a|=2,\:|\overrightarrow b|=3\:and\:|\overrightarrow c|=4$ and $\overrightarrow a+\overrightarrow b+\overrightarrow c=\overrightarrow O$, then $\overrightarrow b.\overrightarrow c+\overrightarrow c.\overrightarrow a+\overrightarrow a.\overrightarrow b=?$

asked Oct 30, 2013 by rvidyagovindarajan_1

1 answer

If $\overrightarrow a,\:\overrightarrow b\:and\:\overrightarrow c$ are mutually $\perp$ vectors of equal magnitude then the angle $\theta$ made by $\overrightarrow a+\overrightarrow b+\overrightarrow c$with any one of these 3 vectors is ?

asked Oct 30, 2013 by rvidyagovindarajan_1

1 answer

The points with position vectors $60\hat i+3\hat j,\:70\hat i-8\hat j\:and\:a\hat i-52\hat j$ are collinear if $a=?$

asked Oct 29, 2013 by rvidyagovindarajan_1

1 answer

$[\overrightarrow a\:\:\overrightarrow b\:\:\overrightarrow a\times\overrightarrow b]$=?

asked Oct 29, 2013 by rvidyagovindarajan_1

1 answer

If $\theta$ is the angle between the vectors $\overrightarrow a$ and $\overrightarrow b$, and $ |\overrightarrow a.\overrightarrow b|=|\overrightarrow a\times\overrightarrow b|$, then $\theta$=?

asked Oct 28, 2013 by rvidyagovindarajan_1

1 answer

If $|\overrightarrow a|=2,\:|\overrightarrow b|= 3$ and $\overrightarrow a.\overrightarrow b=4$, then $|\overrightarrow a-\overrightarrow b|$=?

asked Oct 28, 2013 by rvidyagovindarajan_1

1 answer

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