Basic Maths and Vectors

JEE Main Physics · 16 questions

All questions, latest first

• When the position vector r=x i+y j+z k changes sign as - r, which one of the following vector will not flip under sign change?202628 January, Shift 2 · Q31
• Two particles are located at equal distance from origin. The position vectors of those are represented by Ā=2 i+3 n j+2 k and…202523 January, Shift 1 · Q46
• The resultant of two vectors A and B is perpendicular to A and its magnitude is half that of B. The angle between vectors A and B…20249 April, Shift 2 · Q59
• If a and b makes an angle cos^-1(5/9) with each other, then | a+ b|=√2| a- b| for | a|=n| b| The integer value of n is ____.20249 April, Shift 1 · Q51
• Three vectors OP, OQ and OR each of magnitude A are acting as shown in figure. The resultant of the three vectors is A √x. The…20248 April, Shift 1 · Q51
• For three vectors A=(-x i-6 j-2 k), B=(- i+4 j+3 k) and C=(-8 i- j+3 k), if A ·( B × C)=0, then value of x is ____.20246 April, Shift 1 · Q53
• The angle between vector Q and the resultant of (2 Q+2 P) and (2 Q-2 P) is:20245 April, Shift 1 · Q32
• Two forces F̄_1 and F̄_2 are acting on a body. One force has magnitude thrice that of the other force and the resultant of the…20244 April, Shift 1 · Q51
• If two vectors A and B having equal magnitude R are inclined at an angle θ, then202431 January, Shift 2 · Q32
• A vector has magnitude same as that of A=3 i+4 j and is parallel to B=4 i+3 j. The x and y components of this vector in first…202430 January, Shift 2 · Q51
• A vector in x-y plane makes an angle of 30^° with y -axis. The magnitude of y -component of vector is 2 √3. The magnitude of x…202315 April, Shift 1 · Q37
• When vector A=2 i+3 j+2 k is subtracted from vector B, it gives a vector equal to 2 j. Then the magnitude of vector B will be:202311 April, Shift 2 · Q38
• Two forces having magnitude A and A/2 are perpendicular to each other. The magnitude of their resultant is:20238 April, Shift 1 · Q37
• If P=3 i+√3 j+2 k and Q=4 i+√3 j+2.5 k then, The unit vector in the direction of P × Q is 1/x(√3 i+ j-2 √3 k). The value of x is202325 January, Shift 1 · Q30
• If two vectors P= i+2 m j+m k and Q=4 i-2 j+m k are perpendicular to each other. Then, the value of m will be:202324 January, Shift 2 · Q2
• Vectors a i+b j+ k and 2 i-3 j+4 k are perpendicular to each other when 3 a+2 b=7, the ratio of a to b is x/2 The value of x is…202324 January, Shift 1 · Q22