ADDITION,SUBTRACTIONAND RESOLUTION OF VECTORS
VECTORS

268964 The direction cosines of a vector \(\vec{A}\) are \(\cos \alpha=\frac{4}{5 \sqrt{2}}, \cos \beta=\frac{1}{\sqrt{2}}\) and \(\cos \gamma=\frac{3}{5 \sqrt{2}}\) then the vector \(\vec{A}\) is

1 \(4 \hat{i}+\hat{j}+3 \hat{k}\)
2 \(4 \hat{i}+5 \hat{j}+3 \hat{k}\)
3 \(4 \hat{i}-5 \hat{j}-3 \hat{k}\)
4 \(\hat{i}+5 \hat{j}-\hat{k}\)
VECTORS

268965 Given two vectors \(\vec{A}=\hat{i}-2 \hat{j}-3 \hat{k}\) and \(\vec{B}=4 \hat{i}-2 \hat{j}+6 \hat{k}\). The angle made by \((\vec{A}+\vec{B})\) with the \(X\) - axis is

1 \(30^{\circ}\)
2 \(45^{\circ}\)
3 \(60^{\circ}\)
4 \(90^{\circ}\)
\((2007 \mathrm{M})\)
VECTORS

268966 To go from town \(A\) to town \(B\) a plane must fly about \(1780 \mathrm{~km}\) atan angle of \(30^{\circ}\) West of north. How far West of \(A\) is \(B\) ?

1 \(1542 \mathrm{~km}\)
2 \(1452 \mathrm{~km} 3)\)
3 \(1254 \mathrm{~km} 4) 8\)
4 \(890 \mathrm{~km}\)
VECTORS

268967 A vector \(\hat{i}+\sqrt{3} \hat{j}\) rotates about its tail through an angle \(60^{\circ}\) in clockwise direction then the new vector is

1 \(\hat{i}+\sqrt{3} \hat{j}\)
2 \(3 \hat{i}-4 \hat{j}\)
3 \(2 \hat{j}\)
4 \(2 \hat{i}\)
VECTORS

268964 The direction cosines of a vector \(\vec{A}\) are \(\cos \alpha=\frac{4}{5 \sqrt{2}}, \cos \beta=\frac{1}{\sqrt{2}}\) and \(\cos \gamma=\frac{3}{5 \sqrt{2}}\) then the vector \(\vec{A}\) is

1 \(4 \hat{i}+\hat{j}+3 \hat{k}\)
2 \(4 \hat{i}+5 \hat{j}+3 \hat{k}\)
3 \(4 \hat{i}-5 \hat{j}-3 \hat{k}\)
4 \(\hat{i}+5 \hat{j}-\hat{k}\)
VECTORS

268965 Given two vectors \(\vec{A}=\hat{i}-2 \hat{j}-3 \hat{k}\) and \(\vec{B}=4 \hat{i}-2 \hat{j}+6 \hat{k}\). The angle made by \((\vec{A}+\vec{B})\) with the \(X\) - axis is

1 \(30^{\circ}\)
2 \(45^{\circ}\)
3 \(60^{\circ}\)
4 \(90^{\circ}\)
\((2007 \mathrm{M})\)
VECTORS

268966 To go from town \(A\) to town \(B\) a plane must fly about \(1780 \mathrm{~km}\) atan angle of \(30^{\circ}\) West of north. How far West of \(A\) is \(B\) ?

1 \(1542 \mathrm{~km}\)
2 \(1452 \mathrm{~km} 3)\)
3 \(1254 \mathrm{~km} 4) 8\)
4 \(890 \mathrm{~km}\)
VECTORS

268967 A vector \(\hat{i}+\sqrt{3} \hat{j}\) rotates about its tail through an angle \(60^{\circ}\) in clockwise direction then the new vector is

1 \(\hat{i}+\sqrt{3} \hat{j}\)
2 \(3 \hat{i}-4 \hat{j}\)
3 \(2 \hat{j}\)
4 \(2 \hat{i}\)
VECTORS

268964 The direction cosines of a vector \(\vec{A}\) are \(\cos \alpha=\frac{4}{5 \sqrt{2}}, \cos \beta=\frac{1}{\sqrt{2}}\) and \(\cos \gamma=\frac{3}{5 \sqrt{2}}\) then the vector \(\vec{A}\) is

1 \(4 \hat{i}+\hat{j}+3 \hat{k}\)
2 \(4 \hat{i}+5 \hat{j}+3 \hat{k}\)
3 \(4 \hat{i}-5 \hat{j}-3 \hat{k}\)
4 \(\hat{i}+5 \hat{j}-\hat{k}\)
VECTORS

268965 Given two vectors \(\vec{A}=\hat{i}-2 \hat{j}-3 \hat{k}\) and \(\vec{B}=4 \hat{i}-2 \hat{j}+6 \hat{k}\). The angle made by \((\vec{A}+\vec{B})\) with the \(X\) - axis is

1 \(30^{\circ}\)
2 \(45^{\circ}\)
3 \(60^{\circ}\)
4 \(90^{\circ}\)
\((2007 \mathrm{M})\)
VECTORS

268966 To go from town \(A\) to town \(B\) a plane must fly about \(1780 \mathrm{~km}\) atan angle of \(30^{\circ}\) West of north. How far West of \(A\) is \(B\) ?

1 \(1542 \mathrm{~km}\)
2 \(1452 \mathrm{~km} 3)\)
3 \(1254 \mathrm{~km} 4) 8\)
4 \(890 \mathrm{~km}\)
VECTORS

268967 A vector \(\hat{i}+\sqrt{3} \hat{j}\) rotates about its tail through an angle \(60^{\circ}\) in clockwise direction then the new vector is

1 \(\hat{i}+\sqrt{3} \hat{j}\)
2 \(3 \hat{i}-4 \hat{j}\)
3 \(2 \hat{j}\)
4 \(2 \hat{i}\)
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
VECTORS

268964 The direction cosines of a vector \(\vec{A}\) are \(\cos \alpha=\frac{4}{5 \sqrt{2}}, \cos \beta=\frac{1}{\sqrt{2}}\) and \(\cos \gamma=\frac{3}{5 \sqrt{2}}\) then the vector \(\vec{A}\) is

1 \(4 \hat{i}+\hat{j}+3 \hat{k}\)
2 \(4 \hat{i}+5 \hat{j}+3 \hat{k}\)
3 \(4 \hat{i}-5 \hat{j}-3 \hat{k}\)
4 \(\hat{i}+5 \hat{j}-\hat{k}\)
VECTORS

268965 Given two vectors \(\vec{A}=\hat{i}-2 \hat{j}-3 \hat{k}\) and \(\vec{B}=4 \hat{i}-2 \hat{j}+6 \hat{k}\). The angle made by \((\vec{A}+\vec{B})\) with the \(X\) - axis is

1 \(30^{\circ}\)
2 \(45^{\circ}\)
3 \(60^{\circ}\)
4 \(90^{\circ}\)
\((2007 \mathrm{M})\)
VECTORS

268966 To go from town \(A\) to town \(B\) a plane must fly about \(1780 \mathrm{~km}\) atan angle of \(30^{\circ}\) West of north. How far West of \(A\) is \(B\) ?

1 \(1542 \mathrm{~km}\)
2 \(1452 \mathrm{~km} 3)\)
3 \(1254 \mathrm{~km} 4) 8\)
4 \(890 \mathrm{~km}\)
VECTORS

268967 A vector \(\hat{i}+\sqrt{3} \hat{j}\) rotates about its tail through an angle \(60^{\circ}\) in clockwise direction then the new vector is

1 \(\hat{i}+\sqrt{3} \hat{j}\)
2 \(3 \hat{i}-4 \hat{j}\)
3 \(2 \hat{j}\)
4 \(2 \hat{i}\)