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The two vectors hatj+hatk and 3hati-hatj...

The two vectors `hatj+hatk` and `3hati-hatj+4hatk` represent the two sides AB and AC respectively of a `/_\ABC`. Find the lengthof the median through A

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If vectors vec(AB) = -3hati+ 4hatk and vec(AC) = 5hati -2hatj+4hatk are the sides of a Delta ABC , then the length of the median throught A is

If the vectors vec(AB)=3hati+4hatk and vec(AC)=5hati-2hatj-4hatk are the sides of a triangle ABC, then the length of the median through A is :

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

The position vectors of A and B are 2hati-9hatj-4hatk and 6hati-3hatj+8hatk respectively, then the magnitude of AB is

Show that the vectors 2hati-3hatj+4hatk and -4hati+6hatj-8hatk are collinear.

If hati+hatj+hatk, 2hati+5hatj, 3hati+2hatj-3hatk and hati-6hatj-hatk are the position vectors of points A, B, C and D respectively, then find the angle between AB and CD. Deduce that AB and CD are collinear.

If A and B are two points whose position vectors are 3hati+2hatj-2hatk and hati-3hatj-hatk respectively. Find the position vectors of the points dividing the segment AB externally in the ratio 3:1.

If A and B are two points whose position vectors are 3hati+2hatj-2hatk and hati-3hatj-hatk respectively. Find the position vectors of the points dividing the segment AB internally in the ratio 1:3.

Dot products of a vector with vertices hati+hatj-3hatk,hati+3hatj-2hatk and 2hati+hatj+4hatk are 0,5 and 8 respectively. Find the vector.

MODERN PUBLICATION-VECTORS-Exercise
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  2. Represent graphically a displacement of 40 km, 30^o west of south.

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  3. Represent the following graphically a displacement of : 40 km, 30^@ ea...

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  4. Represent the following graphically a displacement of : 40 km, 30^@ ea...

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  6. Classify the following measure as scalar and vector: 40^o

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  7. Classify the following measure as scalar and vector: 2 meters north-w...

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  8. Classify the following measure as scalar and vector:40watt

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  10. Classify the following measure as scalar and vector: 20 m/s^2

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  11. Classify the following measures as scalars and vectors: 1000 cm^3

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  17. Classify the following as scalar and vector quantities: velocity

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  19. In the figure identify the following vectors : Co-initial.

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  20. In the figure identify the following vectors : Equal.

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  21. A girl walks 4 km towards west, then she walks 3 km in a direction 30^...

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