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Questions and answers by
Ayansa Dabesa soboka
Questions (157)
Suppose A.B = A.C, what can you deduce about A, B and C?
1 answer
85 views
The vectors i (1, 0, 0), j = (0, 1, 0) and k = (0, 0, 1) are unit vectors in the direction of positive x, y and z axis,
1 answer
103 views
Given three vectors A = (1, 1, 1), B = (-1, 2, 3) and C = (0, 3, 4), find the unit vector in the direction of A+B – C.
1 answer
79 views
Let P = (3,7), Q = (-4,2), R = (5,1), S = (-16,-14).
Is parallel to?
1 answer
108 views
Let A = (6, -2, 4). Find two vectors C and D which are parallel to A.
1 answer
122 views
Let A = (0, 1, 5) ,B = (-sqrt 14,5,1) . Find the angle between A and B.
1 answer
90 views
What kinds of attribute?
1 answer
98 views
Show that e1 = (2, 1, 0) and e2 = (1, 1, 0) form a basis of R3
1 answer
68 views
What is data model?
1 answer
93 views
What are the Benefits of database approach?
1 answer
94 views
What is Database system architecture ?
3 answers
91 views
What are constraints?
1 answer
90 views
What is Data management ?
1 answer
101 views
What is database systems?
1 answer
91 views
What is database?
1 answer
153 views
What is DBMS?
1 answer
88 views
There are two ways of representing the numerical values of Various Physical Quantities. Mention those Physical quantities.
1 answer
147 views
Write down the six bit sign magnitude notation for:
A.(+7)10 and (-7)10 B.Write the 2’s Complement for (-7)10
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124 views
Explain the difference between Binary addition and Boolean Logic with the help
of examples.
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101 views
Draw table and show un Signed number, Signed number,1’s complement,2’s complement and excess-4 notation for the four bit
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145 views
Draw table and show un Signed number, Signed number,1’s complement,2’s complement and excess-4 notation for the four bit
1 answer
142 views
Let V be a subspace of (3. What are the possible dimensions for V? Show that if
V ((3, then either V = {0}, or V is a straight
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119 views
Find the dimensions of the following
A)The space of n x n matrices all of whose elements are 0 except possibly the diagonal
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150 views
What is the dimension of the space of 2 x 2 matrices? Give a basis for this space. Answer the same question for the space of n x
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112 views
Let V = {(a, b, c, d) ( (4: b – 2c + d = 0}
W = {(a, b, c, d) ( (4: a = d, b = 2c} Find a basis and dimension of a) V b) W c) V
1 answer
114 views
Let W be the space generated by the polynomials x3 + 3x2 – x + 4, and
2x3 + x2 – 7x – 7. Find a basis and the dimension of
1 answer
112 views
Find a basis and the dimension of the subspace of generated by
{(1, -4, -2, 1), (1, -3, -1, 2), (3, -8, -2, 7)}.
1 answer
120 views
Prove: The vectors (a, b) and (c, d) in the plane are linearly dependent if and only if ad – bc = 0
1 answer
103 views
Find the coordinates of X with respect to the vectors A, B and C
A)X = (1, 0, 0), A = (1, 1, 1), B = (-1, 1, 0), C = (1, 0, -1)
1 answer
77 views
Decide whether the following vectors are linearly independent or not (on ()
a) ((, 0) and (0, 1) b) (-1, 1, 0) and (0, 1, 2) c)
1 answer
101 views
Show that abs(A+B)(A-B)<=abs(A)sqr+abs(B)sqr
1 answer
94 views
What is projection vector
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73 views
If U and W are subspaces of a vector space V, show that and are subspaces.
1 answer
128 views
Show that the following sets form subspaces
A)The set of all (x, y) in such that x = y B)The set of all (x, y) in such that x –
1 answer
137 views
Let k be the set of all numbers which can be written in the form, where a, b are rational numbers. Show that k is a field.
1 answer
80 views
The set of all points equidistant from (0, 1, 5) and 5, -1, 3) is a plane. Find the equation.
1 answer
110 views
Let be the line x = 1 + 2t, y = -1 + 3t, z = -5 + 7t. Find the two points on at a distance 3 units from the plane 2(x-1) +
1 answer
128 views
Let be a line given by A + tB and let P be a point on different from A. For point Q not on , show that the distance d of Q form
1 answer
80 views
Find a line through (xo, yo, zo) and normal to the plane {(x, y, z): ax + by + cz = d}
1 answer
112 views
Find a line through the point po = (-5, 2, 1) and normal to the plane
{(x, y, z): x = y}
1 answer
99 views
Prove that if B.N = 0 and A is on the plane {p:(p – po).N = 0} then the entire line {p:p = A + tB} lies in the plane.
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100 views
Find all points of intersection of the line {p:p = t(1, -3, 6)} and the plane {p:x + 3y + z = 2}
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78 views
Find the intersection point of the lines {p:p = (-2, 4, 6) + t(1, 2, 3)} and {p:p = (-2, 1, 6) + t(3, 2, 1)}. Find equation of
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106 views
Prove that the line {p:p = (1, 3, -1) + t(0, 3, 5)} lies entirely in the plane
{(x, y, z): 2x – 5y + 3z = -16}
1 answer
145 views
Find a point of intersection of the lines {p:p = (1, -5, 2) + t(-1, 1, 0)} and {p:p = (3, -3, 1) + t(4, 0, -1)}
1 answer
102 views
Find a point of intersection of the lines {p:p = (1, -5, 2) + t(-1, 1, 0)} and {p:p = (3, -3, 1) + t(4, 0, -1)}
Prove that the
1 answer
115 views
Find equation of a plane through points
(0, 1, 0), (0, -1, -1) and (1, 2, 1)
1 answer
92 views
Find parametric equations of lines through
a. (-5, -6, 8) and (1, 3, 7) b. (10, 3, 1) and (6, -2, -3)
1 answer
93 views
Show that
1 answer
41 views
Find a formula for the area of a parallelogram whose vertices, in order, are
P, Q, R & S.
1 answer
94 views
If A + B + C = 0. Show that A x B = B x C = C x A
1 answer
72 views
Which of he following vectors are parallel or perpendicular to (1, 1, -1)?
A)(2, 2, -2) d) (1, 0, 1) B)(2, -2, 0) e) C)(-2, 2, 2)
1 answer
119 views
a) Find all vectors that are orthogonal to E1 = (1, 0, 0)
b) Find all vectors that are orthogonal to both E1 and E3 = (0, 0, 1)
1 answer
116 views
Find a non-zero vector orthogonal to (1, 2, -1)
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103 views
Find a unit vector in the direction of (3, -1, 2, 4)
1 answer
82 views
Find a non-zero vector orthogonal to (1, 2, -1)
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123 views
prove that two non zero vectors A and B are perpendicular if and only if, |A|<|A+tB| for every number t.
1 answer
107 views
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