Prove that an angle inscribed in a se...

Prove that an angle inscribed in a semi-circle is a right angle using vector method.

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Using vectors, prove that angle in a semicircle is a right angle.

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Prove that the angle in a segment greater than a semi-circle is less than a right angle.

Using vector method, prove that the angel in a semi circle is a right angle.

A rectangle is inscribed in a semi-circle of radius r with one of its sides on diameter of semi-circle. Find the dimensions of the rectangle so that its area is maximum. Find also the area.

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CENGAGE ENGLISH-VECTOR ALGEBRA-All Questions

If a+2b+3c=4, then find the least value of a^2+b^2+c^2dot
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In any triangle A B C , prove the projection formulaa=b cosC+c cosB ...
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Prove that an angle inscribed in a semi-circle is a right angle usi...
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If vec a.hat i= vec a.( hat i+ hat j)= vec a.( hat i+ hat j+ hat k) ...
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Prove by vector method that cos(A+B)=cos AcosB-sinAsinBdot
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If the scalar projection of vector x hat i- hat j+ hat k on vector 2...
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If vec a=x hat i+(x-1) hat j+ hat k and vec b=(x+1) hat i+ hat j+a ha...
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A unit vector a makes an angle pi/ 4 with z-axis. If a + i + j is a un...
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if veca, vecb and vecc are there mutually perpendicular unit vectors a...
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If vec a , vec b , and vec c be non-zero vectors such that no two ...
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If vec p , vec q , vec r denote vector vec bxx vec c , vec cxx vec a...
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If vec a and vec b be two non-collinear unit vector such that vec ...
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Show that ( vec a- vec b)xx( vec a+ vec b)=2( vec axx vec b)dot
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Prove that ( vec a.( vec bxx hat i)) hat i+( vec a.( vec bxx hat j)) h...
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For any four vectors, vec a , vec b , vec c and vec d prove that vec...
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If vec a , vec b, and vec c are three vectors such that vec axx ve...
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If vec a= vec p+ vec q , vec pxx vec b=0a n d vec qdot vec b=0, then ...
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If vec a= hat i+ hat j+ hat k and vec b= hat i-2 hat j+ hat k , then ...
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If non-zero vectors veca and vecb are perpendicular to each ot...
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If vec a , vec b , and vec c are mutually perpendicular vectors of ...
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