ADDITION,SUBTRACTIONAND RESOLUTION OF VECTORS
VECTORS

268983 A man travels \(\mathbf{1}\) mile due east, then 5 miles due south, then 2 miles due east and finally 9 miles due north. His displacement is

1 3 miles
2 5 miles
3 4 miles
4 between 5 and 9 miles
VECTORS

268958 The vector sum of two vectors of magnitudes 10 units and 15 units can never be

1 20 units
2 22 units
3 18 units
4 3 units
VECTORS

268959 A car moves \(40 \mathrm{~m}\) due east and turns towards north and moves \(30 \mathrm{~m}\) then turns \(45^{\circ}\) east of north and moves \(20 \sqrt{2} \mathrm{~m}\). The net displacement of car is ( east is taken positive \(x\)-axis, North as positive \(\mathbf{y}\)-axis)

1 \(50 \hat{i}+60 \hat{j}\)
2 \(60 \hat{i}+50 \hat{j}\)
3 \(30 \hat{i}+40 \hat{j}\)
4 \(40 \hat{i}+30 \hat{j}\)
VECTORS

268956 If \(\vec{A}=3 \hat{i}-4 \hat{j}\) and \(\vec{B}=-\hat{i}-4 \hat{j}\), calculate the direction of \(\vec{A}-\vec{B}\).

1 along positive \(x\)-axis
2 along negative \(x\)-axis
3 along positive \(y\)-axis
4 along negative \(y\)-axis
VECTORS

268957 The resultant of the forces \(\vec{F}_{1}=4 \hat{i}-3 \hat{j}\) and \(\overrightarrow{F_{2}}=6 \hat{i}+8 \hat{j}\) is

1 \(5 \sqrt{5}\)
2 \(10 \hat{i}-5 \hat{j}\)
3 125
4 \(-2 \hat{i}-3 \hat{j}\)
VECTORS

268983 A man travels \(\mathbf{1}\) mile due east, then 5 miles due south, then 2 miles due east and finally 9 miles due north. His displacement is

1 3 miles
2 5 miles
3 4 miles
4 between 5 and 9 miles
VECTORS

268958 The vector sum of two vectors of magnitudes 10 units and 15 units can never be

1 20 units
2 22 units
3 18 units
4 3 units
VECTORS

268959 A car moves \(40 \mathrm{~m}\) due east and turns towards north and moves \(30 \mathrm{~m}\) then turns \(45^{\circ}\) east of north and moves \(20 \sqrt{2} \mathrm{~m}\). The net displacement of car is ( east is taken positive \(x\)-axis, North as positive \(\mathbf{y}\)-axis)

1 \(50 \hat{i}+60 \hat{j}\)
2 \(60 \hat{i}+50 \hat{j}\)
3 \(30 \hat{i}+40 \hat{j}\)
4 \(40 \hat{i}+30 \hat{j}\)
VECTORS

268956 If \(\vec{A}=3 \hat{i}-4 \hat{j}\) and \(\vec{B}=-\hat{i}-4 \hat{j}\), calculate the direction of \(\vec{A}-\vec{B}\).

1 along positive \(x\)-axis
2 along negative \(x\)-axis
3 along positive \(y\)-axis
4 along negative \(y\)-axis
VECTORS

268957 The resultant of the forces \(\vec{F}_{1}=4 \hat{i}-3 \hat{j}\) and \(\overrightarrow{F_{2}}=6 \hat{i}+8 \hat{j}\) is

1 \(5 \sqrt{5}\)
2 \(10 \hat{i}-5 \hat{j}\)
3 125
4 \(-2 \hat{i}-3 \hat{j}\)
VECTORS

268983 A man travels \(\mathbf{1}\) mile due east, then 5 miles due south, then 2 miles due east and finally 9 miles due north. His displacement is

1 3 miles
2 5 miles
3 4 miles
4 between 5 and 9 miles
VECTORS

268958 The vector sum of two vectors of magnitudes 10 units and 15 units can never be

1 20 units
2 22 units
3 18 units
4 3 units
VECTORS

268959 A car moves \(40 \mathrm{~m}\) due east and turns towards north and moves \(30 \mathrm{~m}\) then turns \(45^{\circ}\) east of north and moves \(20 \sqrt{2} \mathrm{~m}\). The net displacement of car is ( east is taken positive \(x\)-axis, North as positive \(\mathbf{y}\)-axis)

1 \(50 \hat{i}+60 \hat{j}\)
2 \(60 \hat{i}+50 \hat{j}\)
3 \(30 \hat{i}+40 \hat{j}\)
4 \(40 \hat{i}+30 \hat{j}\)
VECTORS

268956 If \(\vec{A}=3 \hat{i}-4 \hat{j}\) and \(\vec{B}=-\hat{i}-4 \hat{j}\), calculate the direction of \(\vec{A}-\vec{B}\).

1 along positive \(x\)-axis
2 along negative \(x\)-axis
3 along positive \(y\)-axis
4 along negative \(y\)-axis
VECTORS

268957 The resultant of the forces \(\vec{F}_{1}=4 \hat{i}-3 \hat{j}\) and \(\overrightarrow{F_{2}}=6 \hat{i}+8 \hat{j}\) is

1 \(5 \sqrt{5}\)
2 \(10 \hat{i}-5 \hat{j}\)
3 125
4 \(-2 \hat{i}-3 \hat{j}\)
VECTORS

268983 A man travels \(\mathbf{1}\) mile due east, then 5 miles due south, then 2 miles due east and finally 9 miles due north. His displacement is

1 3 miles
2 5 miles
3 4 miles
4 between 5 and 9 miles
VECTORS

268958 The vector sum of two vectors of magnitudes 10 units and 15 units can never be

1 20 units
2 22 units
3 18 units
4 3 units
VECTORS

268959 A car moves \(40 \mathrm{~m}\) due east and turns towards north and moves \(30 \mathrm{~m}\) then turns \(45^{\circ}\) east of north and moves \(20 \sqrt{2} \mathrm{~m}\). The net displacement of car is ( east is taken positive \(x\)-axis, North as positive \(\mathbf{y}\)-axis)

1 \(50 \hat{i}+60 \hat{j}\)
2 \(60 \hat{i}+50 \hat{j}\)
3 \(30 \hat{i}+40 \hat{j}\)
4 \(40 \hat{i}+30 \hat{j}\)
VECTORS

268956 If \(\vec{A}=3 \hat{i}-4 \hat{j}\) and \(\vec{B}=-\hat{i}-4 \hat{j}\), calculate the direction of \(\vec{A}-\vec{B}\).

1 along positive \(x\)-axis
2 along negative \(x\)-axis
3 along positive \(y\)-axis
4 along negative \(y\)-axis
VECTORS

268957 The resultant of the forces \(\vec{F}_{1}=4 \hat{i}-3 \hat{j}\) and \(\overrightarrow{F_{2}}=6 \hat{i}+8 \hat{j}\) is

1 \(5 \sqrt{5}\)
2 \(10 \hat{i}-5 \hat{j}\)
3 125
4 \(-2 \hat{i}-3 \hat{j}\)
VECTORS

268983 A man travels \(\mathbf{1}\) mile due east, then 5 miles due south, then 2 miles due east and finally 9 miles due north. His displacement is

1 3 miles
2 5 miles
3 4 miles
4 between 5 and 9 miles
VECTORS

268958 The vector sum of two vectors of magnitudes 10 units and 15 units can never be

1 20 units
2 22 units
3 18 units
4 3 units
VECTORS

268959 A car moves \(40 \mathrm{~m}\) due east and turns towards north and moves \(30 \mathrm{~m}\) then turns \(45^{\circ}\) east of north and moves \(20 \sqrt{2} \mathrm{~m}\). The net displacement of car is ( east is taken positive \(x\)-axis, North as positive \(\mathbf{y}\)-axis)

1 \(50 \hat{i}+60 \hat{j}\)
2 \(60 \hat{i}+50 \hat{j}\)
3 \(30 \hat{i}+40 \hat{j}\)
4 \(40 \hat{i}+30 \hat{j}\)
VECTORS

268956 If \(\vec{A}=3 \hat{i}-4 \hat{j}\) and \(\vec{B}=-\hat{i}-4 \hat{j}\), calculate the direction of \(\vec{A}-\vec{B}\).

1 along positive \(x\)-axis
2 along negative \(x\)-axis
3 along positive \(y\)-axis
4 along negative \(y\)-axis
VECTORS

268957 The resultant of the forces \(\vec{F}_{1}=4 \hat{i}-3 \hat{j}\) and \(\overrightarrow{F_{2}}=6 \hat{i}+8 \hat{j}\) is

1 \(5 \sqrt{5}\)
2 \(10 \hat{i}-5 \hat{j}\)
3 125
4 \(-2 \hat{i}-3 \hat{j}\)