00. Scalar and Vector Quantities
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Motion in Plane

143588 Vector \(A\) has a magnitude of 10 units and makes an angle of \(30^{\circ}\) with the positive \(x\)-axis. Vector \(B\) has a magnitude of 20 units and makes an angle of \(30^{\circ}\) with the negative \(x\)-axis.
What is the magnitude of the resultant between these two vectors?

1 \(20 \sqrt{3}\)
2 35
3 \(15 \sqrt{3}\)
4 \(10 \sqrt{3}\)
Motion in Plane

143589 Two vectors are given by \(\vec{A}=(\hat{i}+2 \hat{j}+2 \hat{k})\) and \(\vec{B}=(3 \hat{i}+6 \hat{j}+2 \hat{k})\). Another vector \(\vec{C}\) has the same magnitude as \(\vec{B}\) but has the same direction as \(\vec{A}\). Then which of the following vectors represents \(\overrightarrow{\mathbf{C}}\) ?

1 \(\frac{7}{3}(\hat{i}+2 \hat{j}+2 \hat{k})\)
2 \(\frac{3}{7}(\hat{i}-2 \hat{j}+2 \hat{k})\)
3 \(\frac{7}{9}(\hat{i}-2 \hat{j}+2 \hat{k})\)
4 \(\frac{9}{7}(\hat{i}-2 \hat{j}+2 \hat{k})\)
Motion in Plane

143590 A particle starts moving from point \((2,10,1)\). Displacement for the particle is \(8 \hat{\mathbf{i}}-2 \hat{\mathbf{j}}+\hat{\mathbf{k}}\). The final coordinates of the particle is

1 \((10,8,2)\)
2 \((8,10,2)\)
3 \((2,10,8)\)
4 \((8,2,10)\)
Motion in Plane

143592 Two vectors having equal magnitude of \(x\) units acting at an angle of \(45^{\circ}\) have resultant \(\sqrt{(2+\sqrt{2})}\) units. The value of \(x\) is

1 0
2 1
3 \(\sqrt{2}\)
4 \(2 \sqrt{2}\)
Motion in Plane

143588 Vector \(A\) has a magnitude of 10 units and makes an angle of \(30^{\circ}\) with the positive \(x\)-axis. Vector \(B\) has a magnitude of 20 units and makes an angle of \(30^{\circ}\) with the negative \(x\)-axis.
What is the magnitude of the resultant between these two vectors?

1 \(20 \sqrt{3}\)
2 35
3 \(15 \sqrt{3}\)
4 \(10 \sqrt{3}\)
Motion in Plane

143589 Two vectors are given by \(\vec{A}=(\hat{i}+2 \hat{j}+2 \hat{k})\) and \(\vec{B}=(3 \hat{i}+6 \hat{j}+2 \hat{k})\). Another vector \(\vec{C}\) has the same magnitude as \(\vec{B}\) but has the same direction as \(\vec{A}\). Then which of the following vectors represents \(\overrightarrow{\mathbf{C}}\) ?

1 \(\frac{7}{3}(\hat{i}+2 \hat{j}+2 \hat{k})\)
2 \(\frac{3}{7}(\hat{i}-2 \hat{j}+2 \hat{k})\)
3 \(\frac{7}{9}(\hat{i}-2 \hat{j}+2 \hat{k})\)
4 \(\frac{9}{7}(\hat{i}-2 \hat{j}+2 \hat{k})\)
Motion in Plane

143590 A particle starts moving from point \((2,10,1)\). Displacement for the particle is \(8 \hat{\mathbf{i}}-2 \hat{\mathbf{j}}+\hat{\mathbf{k}}\). The final coordinates of the particle is

1 \((10,8,2)\)
2 \((8,10,2)\)
3 \((2,10,8)\)
4 \((8,2,10)\)
Motion in Plane

143592 Two vectors having equal magnitude of \(x\) units acting at an angle of \(45^{\circ}\) have resultant \(\sqrt{(2+\sqrt{2})}\) units. The value of \(x\) is

1 0
2 1
3 \(\sqrt{2}\)
4 \(2 \sqrt{2}\)
Motion in Plane

143588 Vector \(A\) has a magnitude of 10 units and makes an angle of \(30^{\circ}\) with the positive \(x\)-axis. Vector \(B\) has a magnitude of 20 units and makes an angle of \(30^{\circ}\) with the negative \(x\)-axis.
What is the magnitude of the resultant between these two vectors?

1 \(20 \sqrt{3}\)
2 35
3 \(15 \sqrt{3}\)
4 \(10 \sqrt{3}\)
Motion in Plane

143589 Two vectors are given by \(\vec{A}=(\hat{i}+2 \hat{j}+2 \hat{k})\) and \(\vec{B}=(3 \hat{i}+6 \hat{j}+2 \hat{k})\). Another vector \(\vec{C}\) has the same magnitude as \(\vec{B}\) but has the same direction as \(\vec{A}\). Then which of the following vectors represents \(\overrightarrow{\mathbf{C}}\) ?

1 \(\frac{7}{3}(\hat{i}+2 \hat{j}+2 \hat{k})\)
2 \(\frac{3}{7}(\hat{i}-2 \hat{j}+2 \hat{k})\)
3 \(\frac{7}{9}(\hat{i}-2 \hat{j}+2 \hat{k})\)
4 \(\frac{9}{7}(\hat{i}-2 \hat{j}+2 \hat{k})\)
Motion in Plane

143590 A particle starts moving from point \((2,10,1)\). Displacement for the particle is \(8 \hat{\mathbf{i}}-2 \hat{\mathbf{j}}+\hat{\mathbf{k}}\). The final coordinates of the particle is

1 \((10,8,2)\)
2 \((8,10,2)\)
3 \((2,10,8)\)
4 \((8,2,10)\)
Motion in Plane

143592 Two vectors having equal magnitude of \(x\) units acting at an angle of \(45^{\circ}\) have resultant \(\sqrt{(2+\sqrt{2})}\) units. The value of \(x\) is

1 0
2 1
3 \(\sqrt{2}\)
4 \(2 \sqrt{2}\)
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Motion in Plane

143588 Vector \(A\) has a magnitude of 10 units and makes an angle of \(30^{\circ}\) with the positive \(x\)-axis. Vector \(B\) has a magnitude of 20 units and makes an angle of \(30^{\circ}\) with the negative \(x\)-axis.
What is the magnitude of the resultant between these two vectors?

1 \(20 \sqrt{3}\)
2 35
3 \(15 \sqrt{3}\)
4 \(10 \sqrt{3}\)
Motion in Plane

143589 Two vectors are given by \(\vec{A}=(\hat{i}+2 \hat{j}+2 \hat{k})\) and \(\vec{B}=(3 \hat{i}+6 \hat{j}+2 \hat{k})\). Another vector \(\vec{C}\) has the same magnitude as \(\vec{B}\) but has the same direction as \(\vec{A}\). Then which of the following vectors represents \(\overrightarrow{\mathbf{C}}\) ?

1 \(\frac{7}{3}(\hat{i}+2 \hat{j}+2 \hat{k})\)
2 \(\frac{3}{7}(\hat{i}-2 \hat{j}+2 \hat{k})\)
3 \(\frac{7}{9}(\hat{i}-2 \hat{j}+2 \hat{k})\)
4 \(\frac{9}{7}(\hat{i}-2 \hat{j}+2 \hat{k})\)
Motion in Plane

143590 A particle starts moving from point \((2,10,1)\). Displacement for the particle is \(8 \hat{\mathbf{i}}-2 \hat{\mathbf{j}}+\hat{\mathbf{k}}\). The final coordinates of the particle is

1 \((10,8,2)\)
2 \((8,10,2)\)
3 \((2,10,8)\)
4 \((8,2,10)\)
Motion in Plane

143592 Two vectors having equal magnitude of \(x\) units acting at an angle of \(45^{\circ}\) have resultant \(\sqrt{(2+\sqrt{2})}\) units. The value of \(x\) is

1 0
2 1
3 \(\sqrt{2}\)
4 \(2 \sqrt{2}\)