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Recent questions tagged q11-b

The accompanying venn diagram shows three events A,B and C,and also the probabilities of the various intersections (for instance $P(A \cap B)=0.07$).Determine $P(B \cap \bar{C}$)

asked Jul 7, 2014 by sreemathi.v

1 answer

Find a unit vector perpendicular to each of the vector \( \overrightarrow a + \overrightarrow b\) and \( \overrightarrow a - \overrightarrow b\), where \( \overrightarrow a = \hat i + \hat j + \hat k\) and \( \overrightarrow b = \hat i + 2\hat j +3\hat k\)

asked Mar 21, 2014 by rvidyagovindarajan_1

1 answer

Prove that $\overrightarrow{a}.(\overrightarrow{b}+\overrightarrow{c})\times (\overrightarrow{a}+2\overrightarrow{b}+3\overrightarrow{c})=[\overrightarrow{a}\;\overrightarrow{b}\;\overrightarrow{c}].$

asked Apr 17, 2013 by sreemathi.v

0 answers

The vectors $\hat{i}+3\hat{j},5\hat{k}$ and $\lambda\hat{i}-\hat{j}$ are coplanar.Find the value of $\lambda$.

asked Apr 17, 2013 by sreemathi.v

0 answers

Find a unit vector perpendicular to the vectors $4i+3j+k$ and $2i-j+2k$.Determine the sine angle between these two vectors.

asked Apr 16, 2013 by sreemathi.v

0 answers

Coded monthly sales figures of a particular brand of T.V. for 18 months commencing January 1,2005 are as follows :

asked Apr 15, 2013 by sreemathi.v

0 answers

(i) Prove by vector method that the diameter of a circle will subtend a right angle at a point on its circumference.(ii) If $\overrightarrow {a},\overrightarrow {b}$ and $\overrightarrow {c}$ represent the position vectors of the points with co-ordinates $(2,-10,2),(3,1,2)$ and $(2,1,3)$ respectively,find the value of $\overrightarrow {a}\times (\overrightarrow {b}\times \overrightarrow {c})$.

asked Apr 15, 2013 by sreemathi.v

0 answers

Find the equation of the plane passing through the line of intersection of the planes $x+2y+3z-4=0$ and $3z-y=0$ and perpendicular to the plane $3x+4y-2z+6=0$.

asked Apr 12, 2013 by sreemathi.v

0 answers

Find the equation of the plane passing through the points $A(2,1,-3),B(-3,-2,1)$ and $C(2,4,-1).$

asked Apr 11, 2013 by sreemathi.v

0 answers

Find the equation of the plane passing through the line of intersection of the planes $x+2y+3z-5=0$ and $3x-2y-z+1=0$ and cutting off equal intercepts on the x and z axes.

asked Apr 10, 2013 by sreemathi.v

0 answers

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