Scalar Product

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Q. Given vectors A = (x, y, z) and B = (1, 2, 3), if A · B = 14, what is the value of x + 2y + 3z?
  • A. 14
  • B. 10
  • C. 8
  • D. 6
Q. Given vectors P = (4, 0, -3) and Q = (1, 2, 1), find the scalar product P · Q.
  • A. -1
  • B. 5
  • C. 10
  • D. 2
Q. Given vectors P = (4, 1, 0) and Q = (0, 2, 3), find the scalar product P · Q.
  • A. 0
  • B. 6
  • C. 8
  • D. 10
Q. Given vectors P = (4, 1, 0) and Q = (1, 2, 3), find the scalar product P · Q.
  • A. 10
  • B. 11
  • C. 12
  • D. 13
Q. If A = (1, 0, -1) and B = (0, 1, 1), what is the scalar product A · B?
  • A. 0
  • B. 1
  • C. -1
  • D. 2
Q. If A = (1, 0, 0) and B = (0, 1, 0), what is the value of A · B?
  • A. 0
  • B. 1
  • C. 2
  • D. 3
Q. If A = (1, 1, 1) and B = (1, 1, 1), what is the scalar product A · B?
  • A. 1
  • B. 2
  • C. 3
  • D. 4
Q. If A = (1, 1, 1) and B = (2, 2, 2), what is the scalar product A · B?
  • A. 3
  • B. 6
  • C. 9
  • D. 12
Q. If A = (1, 1, 1) and B = (x, y, z) such that A · B = 3, what is the value of x + y + z?
  • A. 1
  • B. 2
  • C. 3
  • D. 4
Q. If A = (1, 2, 3) and B = (4, 5, 6), what is the value of A · B?
  • A. 32
  • B. 30
  • C. 28
  • D. 26
Q. If A = (1, 2, 3) and B = (k, k, k) are perpendicular, what is the value of k?
  • A. 1
  • B. 2
  • C. 3
  • D. 0
Q. If A = (1, 2, 3) and B = (x, y, z) are such that A · B = 0, what is the condition for x, y, z?
  • A. x + 2y + 3z = 0
  • B. x - 2y + 3z = 0
  • C. x + 2y - 3z = 0
  • D. x - 2y - 3z = 0
Q. If A = (1, 2, 3) and B = (x, y, z) such that A · B = 14, find the value of x + y + z.
  • A. 5
  • B. 6
  • C. 7
  • D. 8
Q. If A = (2, 0, -1) and B = (0, 3, 4), what is A · B?
  • A. -4
  • B. 0
  • C. 6
  • D. 8
Q. If A = (2, 0, -1) and B = (0, 3, 4), what is the scalar product A · B?
  • A. -4
  • B. 0
  • C. 6
  • D. 8
Q. If A = (2, 3) and B = (k, 1) are such that A · B = 10, find k.
  • A. 1
  • B. 2
  • C. 3
  • D. 4
Q. If A = (2, 3, 4) and B = (0, 0, 0), what is A · B?
  • A. 0
  • B. 2
  • C. 3
  • D. 4
Q. If A = (2, 3, 4) and B = (1, 0, -1), find the scalar product A · B.
  • A. -1
  • B. 0
  • C. 1
  • D. 10
Q. If A = (2, 3, 4) and B = (1, 0, -1), what is the scalar product A · B?
  • A. -1
  • B. 0
  • C. 2
  • D. 10
Q. If A = (2, 3, 4) and B = (k, 0, -1) are perpendicular, find k.
  • A. -4
  • B. -3
  • C. -2
  • D. -1
Q. If A = (2, 3, 4) and B = (x, y, z) such that A · B = 20, find the value of x + y + z.
  • A. 5
  • B. 6
  • C. 7
  • D. 8
Q. If A = (3, -1, 2) and B = (k, 4, -1) are orthogonal, find k.
  • A. -2
  • B. 1
  • C. 2
  • D. 3
Q. If A = (3, -2, 1) and B = (4, 0, -1), what is the value of A · B?
  • A. -1
  • B. 0
  • C. 1
  • D. 10
Q. If A = (a, b, c) and B = (1, 2, 3) such that A · B = 0, what is the relation between a, b, and c?
  • A. a + 2b + 3c = 0
  • B. a - 2b + 3c = 0
  • C. a + b + c = 0
  • D. a - b - c = 0
Q. If A = (a, b, c) and B = (1, 2, 3), and A · B = 14, find a + b + c.
  • A. 5
  • B. 6
  • C. 7
  • D. 8
Q. If A = (a, b, c) and B = (1, 2, 3), and A · B = 14, what is the equation?
  • A. a + 2b + 3c = 14
  • B. a - 2b + 3c = 14
  • C. a + 2b - 3c = 14
  • D. a - 2b - 3c = 14
Q. If A = (a, b, c) and B = (1, 2, 3), find the value of a if A · B = 10.
  • A. 1
  • B. 2
  • C. 3
  • D. 4
Q. If A = (a, b, c) and B = (1, 2, 3), what is the scalar product A · B?
  • A. a + 2b + 3c
  • B. a - 2b - 3c
  • C. a * b * c
  • D. a^2 + b^2 + c^2
Q. If A = (x, y) and B = (y, x), what is the scalar product A · B?
  • A. x^2 + y^2
  • B. xy
  • C. x^2 - y^2
  • D. 0
Q. If A = (x, y, z) and B = (1, 1, 1) such that A · B = 6, find x + y + z.
  • A. 3
  • B. 6
  • C. 9
  • D. 12
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