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Two vectors and have equal magnitudes. Under what condition will their difference have the same magnitude as either of the vectors?
The angle between the two vectors is 60 degrees.
The angle between the two vectors is 90 degrees.
The angle between the two vectors is 120 degrees.
The angle between the two vectors is 45 degrees.
If three vectors , , and form a right-angled triangle such that is the hypotenuse, then a possible value of is:
3j
2i + j + 2k
i + j - k
-i + 2j + k
The position vector of a particle is given by . The velocity of the particle at s is perpendicular to:
5î + 6ĵ
6î + 5ĵ
10î - 12ĵ
12î - 10ĵ
Which of the following is NOT a characteristic of a null vector?
Its magnitude is zero.
It has a specific direction.
It is used to represent a point in space.
It can be added to any vector without changing the original vector's magnitude or direction.
If and are two non-zero vectors such that , which of the following must be true?
and are parallel.
and are perpendicular.
A mixture of and weighing 1.12 g is treated with an excess of red hot . The is converted to . The total weight of produced is 1.6 g. What was the weight percentage of in the original mixture?
42.86%
57.14%
28.57%
71.43%
10 g of a metal oxide on strong heating gave 6.4 g of metal. If the formula of the metal oxide is , what is the atomic mass of the metal M?
56
43
27
65
Two elements X and Y combine to form two compounds and . If 0.05 moles of weighs 5 g and 0.10 moles of weighs 20 g, find the atomic masses of X and Y.
X = 40, Y = 30
X = 50, Y = 25
X = 60, Y = 20
Cannot be determined from the given data
Which of the following experiments definitively proved the Law of Conservation of Mass?
Dalton's atomic theory
Gay-Lussac's law of combining volumes
Lavoisier's experiments on heating mercury in a sealed container
Proust's law of definite proportions