Mathematics Syllabus (JEE Main)
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Q. If the vector a = (2, -1) and b = (1, 3), what is the cross product a × b?
Q. If the vector a = (2, 2) and b = (2, -2), what is the angle between them?
Q. If the vector a = (2, 2) is scaled by a factor of 3, what is the resulting vector?
Q. If the vector a = (2, 3) and b = (4, 1), what is the cross product a × b?
Q. If the vector a = (2, 3) and b = (4, 1), what is the resultant vector a + b?
Q. If the vector A = (2, 3) is multiplied by 2, what is the resulting vector?
Q. If the vector A = (2, 3) is reflected across the line y = x, what is the resulting vector?
Q. If the vector A = (2, 3) is scaled by a factor of 2, what is the resulting vector?
Q. If the vector a = (2, 3, 4) and b = (1, 0, -1), what is a + b?
Q. If the vector a = (2, 3, 4) and b = (1, 0, -1), what is the scalar triple product a · (b × a)?
Q. If the vector a = (2, 3, 4) is scaled by a factor of 2, what is the resulting vector?
Q. If the vector a = (3, 4) and b = (1, 2), find the cross product a × b.
Q. If the vector a = (3, 4) is scaled by a factor of 2, what is the new vector?
Q. If the vector a = (3, 4, 0) and b = (0, 0, 5), what is the magnitude of a × b?
Q. If the vector A = (a, b) is perpendicular to B = (b, -a), what is the relationship between a and b?
Q. If the vectors A = (1, 2) and B = (2, 1) are given, what is the angle between them?
Q. If the vectors A = (2, 3) and B = (4, 5) are given, what is the scalar product A · B?
Q. If the vectors A = (3, -2, 1) and B = (k, 4, -2) are orthogonal, find the value of k.
Q. If the vectors A = (x, 2, 3) and B = (4, y, 6) are orthogonal, what is the value of y?
Q. If the vectors A = (x, 2, 3) and B = (4, y, 6) are orthogonal, what is the value of x + y?
Q. If the vertex of the parabola y = ax^2 + bx + c is at (1, -2), what is the value of a if b = 4 and c = -6?
Q. If two coins are tossed, what is the probability of getting at least one head?
Q. If two dice are rolled, what is the probability of getting a sum of 7?
Q. If u = (1, 2) and v = (3, 4), what is the dot product u · v?
Q. If u = (1, 2) and v = (3, 4), what is u + v?
Q. If u = (1, 2, 3) and v = (4, 5, 6), what is the dot product u · v?
Q. If u = (2, 3, 1) and v = (1, 0, -1), find the dot product u · v.
Q. If U = {1, 2, 3, 4, 5}, A = {1, 2}, and B = {2, 3}, what is A ∪ B?
Q. If vector A = (1, 2, 3) and vector B = (4, 5, 6), what is A + B?
Q. If vector A = (1, 2, 3) and vector B = (4, 5, 6), what is the angle between them?
