Posted on : April 2, 2020 By Team thecourseshub As the angle between two forces increases, the magnitude of their resultant Increases only Decreases only First increases and then decreases Remain samecosθi + sinθj Null vector Position vector Vector at an angle θ with the x-axis Unit vector at an angle θ with the x-axisWhich of the following is a unit vector?√3 i + √3 j + √3 k1/√3 i + 1/√3 j + 1/√3 k 3/√3 i + 3/√3 j + 3/√3 k3 i + 3 j + 3 kIn which quadrant the two rectangular components of a vector has same sign?Both 1st and 2ndBoth 1st and 3rdBoth 2nd and 3rdOnly 1st quadrantThe scalar product of two vectors is 2√3 and the magnitude of their vector product is 2. The angle between them is30°45°60°90°Maximum number of rectangular components of a vector in plane and space are respectivelyOne, twoTwo, threeTwo, infiniteOne, infinite If the sum of two unit vectors is a unit vector, then the magnitude of their difference is√2√3√5√6Which of the following is a unitless vector?Position vectorAxial vectorUnit vectorParallel vectorUnit vector in the direction of A = 12i + 16j 12i + 16j / √ 20 12i + 16j / √ 5 3i + 4j / 5 3i + 4j / √ 20The vector P makes 120° with the x-axis and the vector Q makes 30° with the y-axis. What is their resultant?P + QP – Q√P2 + Q2 - PQ√ P2 + Q2 + PQTwo forces each of 10 N magnitude act on a body. If the forces are inclined at 30° and 60°, respectively with the x-axis, then y-component of their resultant is10.03 N8.66 N13.66 N12.45 NThe angle between unlike parallel vectors is0°180°90°360°What is the angle that the given vector makes with the y-axis? A = 2 i + √ 12 j30°45°60°90°Minimum number of unequal forces whose vector sum is zero is2345Null vector has Definite direction Magnitude equal to 1 Indeterminate direction Both A and BOut of the following set of forces, the resultant of which cannot be zero10 N, 10 N, 10 N10 N, 10 N, 20 N 10 N, 20 N, 40 N 10 N, 20 N, 20 N If a force of 50 N is acting along the x-axis, then its component along y-axis will be 1/4th of the magnitude of x-component ½ of the magnitude of x-component Zero Remain sameNull vector cannot be obtained By adding two equal and opposite vectors Taking the cross product of two parallel vectors Taking the dot product of two perpendicular vectors None of theseThe direction of a vector in space is specified by _______ angle (s)OneTwoThree FourIf | a + b| = | a – b |, then angle between a and b is0°45°90°180°Which one is not correct for a vector A = √ 2 i + √ 2 j It has direction θ = 45° with x-axis It has magnitude 2 It has magnitude 2 and direction θ = 45° with the x-axis It has magnitude -2Into how many components a vector can be resolve in the plane?OneTwoInfiniteBoth B and CIf two unit vectors are inclined at the angle of 90°, the magnitude of their results will be2√2√31What is the angle between j + k and i + j?π/6π/3π/4π/2Which of the following is an axial vector?DisplacementsAngular displacementMomentumAngular VelocityA force of 10 N is making an angle of 30° with the x-axis3√5 N3√3 N5√5 N5√3 N If Ax = Ay, then the angle which the vector A makes with the x-axis is30°45°60°90°Time is Up!