A(1, 1, 2), B(4, 3, 1) and C(2, 3, 5) ar...

A(1, 1, 2), B(4, 3, 1) and C(2, 3, 5) are vertices of a triangle ABC. The vector along the bisector `angleA` is …………..

A

`hati+hatj+hatk`

B

`2hati-2hatj+hatk`

C

`2hati+2hatj+hatk`

D

None of these

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The correct Answer is:

C

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KUMAR PRAKASHAN-VECTOR ALGEBRA -Solutions of NCERT Exemplar Problems (Multiple Choice Questions (MCQs) )

The position vector of a point A is (4, 2, -3). If the distance of the...
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vec(a)=hati+hatj+hatk,vec(b)=hati-hatj+hatk and vec( c )=hati+2hatj-...
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A(1, 1, 2), B(4, 3, 1) and C(2, 3, 5) are vertices of a triangle ABC. ...
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The position vectors of two points A and B are respectively 6vec(a)+2v...
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The position vectors of the vertices of triangle are 3hati+4hatj+5hatk...
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The angle between the unit vectors vec(a) and vec(b) is 2theta. Where ...
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squareABCD is a parallelogram. (A(1)) and B(1) are midpoints of the si...
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In DeltaABC,vec(AB)=3hati+4hatk and vec(AC)=5hati-2hatj+4hatk. Length ...
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If bar(x)=(a,4,2a) and bar(y)=(2a,-1,a) are perpendicualr to each othe...
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If bar(x)=(3,1,0),bar(y)=(2,2,3),bar(z)=(-1,2,1). If bar(x)|(bar(y)+...
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If bar(x)=(1,2,4),bar(y)=(-1,-2,k),k ne -4 then |bar(x).bar(y)|………|bar...
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If bar(a)=(-3,1,0) and bar(b)=(1,-1,-1) then "Comp"(bar(a))bar(b) …………...
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The projection of (1, 2, -1) on hati is …………….
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A(3,-1),B(2,3) and C(5,1) are given then m angleA = ………
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bar(x) and bar(y) are unit vectors and (bar(x)""(,)^(hat)bar(y))=theta...
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If |bar(x)+bar(y)|=|bar(x)-bar(y)|, then
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bar(x),bar(y),bar(z) are zero vectors. If …………… then bar(x).bar(y)=bar...
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bar(x),bar(y),bar(z) are non zero vectors. If (bar(x)""(,)^(hat)bar(y)...
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If bar(x).bar(y)=bar(x).bar(z) ne 0 and bar(x)xx bar(y)=bar(x)xx bar(z...
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If bar(a)=(3,1,-2) and bar(b)=(1,3,-2) then (bar(a)" "^(hat)bar(b)) = ...
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