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The position vectors of two points A and...

The position vectors of two points A and B are `3hati+hatj+2hatk and hati-2hatj-4hatk`, respectively. Find the equation of the plane passing through B and prependicular to AB.

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If the position vectors of two points A and B are 3hati + hatk and 2hati+hatj-hatk , then the vector vec(BA) is

The position vectors of the points A, B, C and D are 4hati+3hatj-hatk , 5hati+2hatj+2hatk , 2hati-2hatj-3hatk and 4hati-4hatj+3hatk respectively. Show that AB and CD are parallel.

Write a vector normal to hati+hatk and hati+hatj .

Find the value of 'a' do the which the pointA,B,C with position vectors 2hati-hatj+hatk,hati-3hatj-5hatk and ahati-3hatj+hatk respectively are the vertices of a right angled triangle with /_C=pi/2 .

Find the unit vectors perpendicular to the vectors. 2hati-3hatj+hatk , -hati+2hatj-hatk .

Find the vector projection of veca=hati-hatj+hatk on vecb=3hati+hatj+3hatk.

Find the area of the parallelogram whose diagonals are vectors 3hati+hatj-2hatk and hati-3hatj+4hatk .

Find the angle between the vectors vecp=3hati+hatj+2hatk and vecQ=hati-2hatj+3hatk .

What vector added to vecA=4hati-hatj+2hatk and 2hati+hatj-hatk will give a unit vector along the X-axis.

ARIHANT PUBLICATION-QUESTION PAPER 2018-SHORT ANSWER TYPE QUESTIONS (ANSWER ANY THREE QUESTIONS)
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