1. Inform you about time table of exam.
2. Inform you about new question papers.
3. New video tutorials information.
- Position Vector
- Direction Cosines and Direction Ratios of a Vector
- Position Vector
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- Vector Algebra part 4 (Direction Angle, Direction cosine)
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- Direction cosine and Direction ratio
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- Vector Algebra part 3 (Position Vector)
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Let `veca` and `vecb` be two unit vectors andθ is the angle between them. Then `veca + vecb` is a unit vector if
(A) `theta = pi/4`
(B) `theta = pi/3`
(C) `theta =pi/2`
(D) `theta = 2pi/3`
If `bara, barb, bar c` are the position vectors of the points A, B, C respectively and ` 2bara + 3barb - 5barc = 0` , then find the ratio in which the point C divides line segment AB.
Find the position vector of the foot of perpendicular and the perpendicular distance from the point P with position vector
`2hati+3hatj+4hatk` to the plane `vecr` . `(2hati+hatj+3hatk)−26=0` . Also find image of P in the plane.
Find the position vector of a point which divides the join of points with position vectors `veca-2vecb" and "2veca+vecb`externally in the ratio 2 : 1
Write the position vector of the point which divides the join of points with position vectors `3veca-2vecb and 2veca+3vecb` in the ratio 2 : 1.
Show that the points A, B and C with position vectors `veca = 3hati - 4hatj - 4hatk`, `vecb = 2hati - hatj + hatk` and `vecc = hati - 3hatj - 5hatk` respectively form the vertices of a right angled triangle.
Find the direction ratios of a vector perpendicular to the two lines whose direction ratios are -2, 1, -1, and -3, -4, 1.
Find the position vector of the mid point of the vector joining the points P (2, 3, 4) and Q (4, 1, – 2).
Classify the following as scalar and vector quantities.
(i) time period
(v) work done
If `bara, barb, barc` are position vectors of the points A, B, C respectively such that `3bara+ 5barb-8barc = 0`, find the ratio in which A divides BC.
Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are `hati + 2hatj - hatk` and `-hati + hatj + hatk` respectively, in the ration 2:1
If θ is the angle between two vectors `veca` and `vecb`, then `veca.vecb >= 0` only when
(A) `0 < theta < pi/2`
(B) `0 <= theta <= pi/2`
(C) `0 < theta < pi`
(D) `0 <= theta <= pi`
Classify the following measures as scalars and vectors.
(i) 10 kg
(ii) 2 metres north-west
(iv) 40 watt
(v) 10–19 coulomb
(vi) 20 m/s2