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Question

$text If end text a equals 3 i with not stretchy hat on top plus 4 j with not stretchy hat on top text and end text b equals 4 i with not stretchy hat on top minus 3 j with not stretchy hat on top comma text then end text$

the magnitude of resultant of a and b is 5 $\sqrt{2}$ units
the angle between a and b is $90^{o}$
the angle between a and b is zero
Both (a) and (b) correct

The correct answer is: Both (a) and (b) correct

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If unit vector $a equals a subscript 1 i with not stretchy hat on top plus a subscript 2 j with not stretchy hat on top plus a subscript 3 k with not stretchy hat on top$ . The possible values of a₁ a₂ and a₃ are

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The current through a coil of self inductance $L equals 2 blank m H$ is given by $I equals t to the power of 2 end exponent e to the power of negative t end exponent$ at time. $t$ . How long it will take to make the e.m.f. zero

The current through a coil of self inductance $L equals 2 blank m H$ is given by $I equals t to the power of 2 end exponent e to the power of negative t end exponent$ at time. $t$ . How long it will take to make the e.m.f. zero

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A 220-volt input is supplied to a transformer. The output circuit draws a current of 2.0 ampere at 440 volts. If the efficiency of the transformer is 80%, the current drawn by the primary windings of the transformer is

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The flux associated with coil changes from 1.35 Wb to 0.79 Wb within $fraction numerator 1 over denominator 10 end fraction$ s. Then the charge produced by the earth coil, if resistance of coil is 7 $capital omega$ is

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The number of turns in the primary coil of a transformer is 200 and the number of turns in the secondary coil is 10. If $240 blank v o l t blank A C$ is applied to the primary, the output from the secondary will be

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If the curves $x to the power of 2 end exponent equals 9 A left parenthesis 9 minus y right parenthesis$ and $x to the power of 2 end exponent equals A left parenthesis y plus 1 right parenthesis$ intersect orthogonally, then the value of $A$ is

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A sphere of radius 100 mm shrinks to radius 98 mm, then the approximate decrease in its volume is

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The set of all values of $a$ for which the function
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Decreases for all real $x$ is

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