Match List−I with List−II.
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Choose the correct answer from the options given below :
(a)→(iv),(b)→(i),(c)→(iii),(d)→(ii)
(a)→(iv),(b)→(iii),(c)→(i),(d)→(ii)
(a)→(iii),(b)→(ii),(c)→(iv),(d)→(i)
(a)→(i),(b)→(iv),(c)→(ii),(d)→(iii)
Magnitude of vector which comes on addition of two vectors, 6ˆi+7ˆj and 3ˆi+4ˆj is
Let the angle between two nonzero vectors →A and →B be 120^° and resultant be \overrightarrow C
Statement I: If three forces \vec{F}_{1}, \vec{F}_{2} and \vec{F}_{3} are represented by three sides of a triangle and \overrightarrow{{F}}_{1}+\overrightarrow{{F}}_{2}=-\overrightarrow{{F}}_{3}, then these three forces are concurrent forces and satisfy the condition for equilibrium.
Statement II: A triangle made up of three forces \overrightarrow{{F}}_{1}, \overrightarrow{{F}}_{2} and \overrightarrow{{F}}_{3} as its sides taken in the same order, satisfy the condition for translatory equilibrium.
In the light of the above statements, choose the most appropriate answer from the options given below:
Establish the following vector inequalities geometrically or otherwise:
(a) \quad| a + b | \leq| a |+| b |
(b) \quad| a + b | \geq| a |-| b |
(c) \quad| a - b | \leq| a |+| b |
(d) \quad| a - b | \geq| a |-| b |
When does the equality sign above apply?