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17 Cards in this Set
- Front
- Back
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VECTORS
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follow triangle law of vector addition
have magnitude have direction |
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RESULTANT VECTOR
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Sum of all vectors
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VECTOR ADDITION/SUBTRACTION
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1.Represent in component form and then add.
2.Use triangle law 3.Use parallelogram law |
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DOT PRODUCT
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1.result is a scalar quantity
2. a.b = ab cos@ 3. a.b = multiply coeff. of i + multiply coef. of j |
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CROSS PRODUCT
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1.result is a vector quantity along the third axis which is perpendicular to the vectors being multiplied.
2. use right hand thumb rule to find the direction of the resultant vector 3. a X b = ab sin@ n^ |
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ORTHOGONALITY
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is the relation of two lines at right angles to one another (perpendicularity)
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PARALLEL VECTORS
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1.Angle between them is zero
2. cross product = 0 3. dot product = product of magnitudes |
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PERPENDICULAR VECTORS
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1.Angle between them is 90 degrees.
2. cross product = product of magnitudes 3. dot product = 0 |
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ANTI-PARALLEL VECTORS
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1.Angle between them is 180 degrees.
2. dot product = -1 3. cross product = 0 |
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HOW TO SOLVE VECTORS
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1. Resolve vectors
2. Equate using cross or dot product 3. check for the angle between resultant and given vector |
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PROJECTION OF A VECTOR
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1. It's like the shadow formed when light falls on it at a perpendicular angle.
2. use pythagoras' theorem ....or 3. use formula derived using the formula for dot product |
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POSITION OF A VECTOR W.R.T. ANOTHER VECTOR
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1. find co-ordinates of the vector i.e. coef. of i, j, k
2. use distance formula |
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VECTORS AS VERTICES OF A TRIANGLE
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1. find the distance between vertices using distance formula.
2. compare |
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ANGLE BETWEEN VECTORS
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1. join vectors tail to tail
2. measure the angle formed |
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TRIANGLE LAW OF VECTOR ADDITION
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If two vectors are represented by two sides of a triangle in sequence, then third closing side of the triangle, in the opposite direction of the sequence, represents the sum of the two vectors in both magnitude and direction. For vectors in the same sense, resultant is zero.
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TAN 37
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3/4
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UNIT VECTOR
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1. vector of magnitude one along the direction of given vector
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