Vectors 1] Vector A is 3.00 units in length and points along the positive x axis. Vector B is 4.00 units in length and points along the negative y axis.

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Presentation transcript:

Vectors 1] Vector A is 3.00 units in length and points along the positive x axis. Vector B is 4.00 units in length and points along the negative y axis. find the magnitude and direction of the vectors (a) A + B, (b)A - B. 2] A vector has x component of -25 units and a y component of 40 units. Find the magnitude and direction of this vector.

3] Find the magnitude and direction of the resultant of three displacements having components (3,2) m, (-5, 3) m and (6, 1) m 4] Two vector are given by A = 6i –4j and B = -2i+5j. Calculate (a) A+B, (b) A-B, |A+B|, (d) |A-B|, (e) the direction of A+B and A-B.

[5] Obtain expressions for the position vectors with polar coordinates 12.8m, 150o; (b) 3.3cm, 60 o; (c) 22cm, 215 o. (a) 12.8m, 150o [6] The scalar product of vectors A and B is 6 units. The magnitude of each vector is 4 units. Find the angle between the vectors

[7] Find the x and y components of the vector A and B if A=5i and B =-j expression for the resultant vector A+B in unit vector notation. [8] A vector A has a magnitude of 35 units and makes an angle of 37o with the positive x axis. Describe (a) a vector B that is in the direction opposite A and is one fifth the size of A, and (b) a vector C that when added to A will produce a vector twice as long as A pointing in the negative y direction.

[9] Find the magnitude and direction of a displacement vector having x and y components of -5m and 3m, respectively. In unit vector notation [10] Three vectors are given by A=6i, B=9j, and C=(-3i+4j). (a) Find the magnitude and direction of the resultant vector. (b) What vector must be added to these three to make the resultant vector zero?

[11] A particle moves from a point in the xy plane having Cartesian coordinates (-3.00, -5.00) m to a point with coordinates (-1.00, 8.00) m. (a) Write vector expressions for the position vectors in unit-vector form for these two points. (b) What is the displacement vector? The vector position for the first point (-3,-5)m is

[12] Two vectors are given by A= 4i+3j and B= -i+3j. Find (a) A [12] Two vectors are given by A= 4i+3j and B= -i+3j. Find (a) A.B and (b) the angle between A and B. [13] A vector is given by A= -2i+3j. Find (a) the magnitude of A and (b) the angle that A makes with the positive y axis.

[14] Vector A has a magnitude of 5 units, and B has a magnitude of 9 units. The two vectors make an angle of 50o with each other. Find A.B [15] For the three vectors A=3i+j-k, B= -i+2j+5k, and C= 2j-3k, find C.(A-B)