Vectors: Maths Diagnostic

Question 1 of 6

1

\( {\rm A \ vector \ has \ magnitude \ of \ 15.0 \ and \ is \ at \ an \ angle \ of } \ 30^{\circ} \ {\rm above \ the \ horizontal} \ x \ {\rm axis. \\ What \ are \ the} \ x \ {\rm and} \ y {\rm \ components \ of \ this \ vector? }\)

Select one of the following:

\( x =13 \ {\rm and} \ y=8 \)
\( x =14 \ {\rm and} \ y=5 \)
\( x =7 \ {\rm and} \ y=8 \)
\( x =8 \ {\rm and} \ y=7 \)
\( x =8 \ {\rm and} \ y=13 \)

Explanation

Question 2 of 6

1

\( {\rm Vector} \ \vec{F} \ {\rm is} \ 2.795 \times 10^3 \ {\rm units \ in \ the} \ x \ {\rm direction \ and \ vector} \ \vec{N} \ {\rm is} \ 9.8 \times 10^3 \ {\rm \ units \ in \ the} \ y \ {\rm \ direction, \\ what \ is \ the \ magnitude \ and \ direction \ of \ the \ resultant \ vector?} \)

Select one of the following:

\( {\rm magnitude \ is} \ 1.3 \times 10^4 \ {\rm and \ direction \ is} \ 16^\circ \ {\rm above \ the} \ x \ {\rm axis.} \)
\( {\rm magnitude \ is} \ 1.0 \times 10^4 \ {\rm and \ direction \ is} \ 74^\circ \ {\rm above \ the } \ x \ {\rm axis.} \)
\( {\rm magnitude \ is} \ 1.3 \times 10^4 \ {\rm and \ direction \ is} \ 74^\circ \ {\rm above \ the } \ x \ {\rm axis.} \)
\( {\rm magnitude \ is} \ 1.1 \times 10^2 \ {\rm and \ direction \ is} \ 73^\circ \ {\rm above \ the } \ x \ {\rm axis.} \)
\( {\rm magnitude \ is} \ 2.3 \times 10^4 \ {\rm and \ direction \ is} \ 17^\circ \ {\rm above \ the} \ x \ {\rm axis.} \)

Explanation

Question 3 of 6

1

Click on each orange point and select the correct answer.

\( \rm Vector \ A \ and \ vector \ B \ are \ shown \ in \ black \ in \ the \ diagram \ below. \\ Click \ on \ each \ of \ the \ four \ orange \ circles \ on \ the \ resultant \ red \ vectors \\ and \ select \ the \ correct \ equivalent \ combination \ of \ A \ and \ B. \)

Explanation

Question 4 of 6

1

\( \rm{ Vector \ A \ and \ vector \ B \ are \ shown \ in \ black \ in \ the \ diagram \ below. \ Select \ the \ image \ below \ which \ is \ NOT \ correct.}\)

Select one of the following:

Explanation

Question 5 of 6

1

\( {\rm Vector} \ \vec{N_y} \ {\rm is} \ - 3.2 \times 10^{-2} \ {\rm units \ in \ the} \ y \ {\rm direction \ and \ vector} \ \vec{N_x} \ {\rm is} \ 9.8 \times 10^{-2} \ {\rm \ units \ in \ the} \ x \ {\rm \ direction, \\ what \ is \ the \ magnitude \ and \ direction \ of \ the \ vector} \ \vec{N_y}+\vec{N_x} ? \)

Select one of the following:

\( {\rm magnitude \ is} \ 0.13 \ {\rm and \ direction \ is} \ 18^\circ \ {\rm above \ the} \ x \ {\rm axis.} \)
\( {\rm magnitude \ is} \ -0.10 \ {\rm and \ direction \ is} \ 18^\circ \ {\rm below \ the} \ x \ {\rm axis.} \)
\( {\rm magnitude \ is} \ -0.09 \ {\rm and \ direction \ is} \ 18^\circ \ {\rm below \ the} \ x \ {\rm axis.} \)
\( {\rm magnitude \ is} \ 0.10 \ {\rm and \ direction \ is} \ 18^\circ \ {\rm below \ the} \ x \ {\rm axis.} \)
\( {\rm magnitude \ is} \ 0.09 \ {\rm and \ direction \ is} \ 18^\circ \ {\rm above \ the} \ x \ {\rm axis.} \)

Explanation

Question 6 of 6

1

\( \rm{A \ sailing \ ship \ is \ travelling \ with \ bearing \ of \ 307 \ at \ 5m/s. \ A \ 4m/s \ gust \ of wind \ to \ the \ East \ blows \ it \ off \ course.}\)

\(\rm{ What \ is \ the \ new \ heading \ of \ the \ ship?} \)

Select one of the following:

\( \rm{Due \ North \ at \ 3m/s} \)
\( \rm{Bearing \ of \ 053 \ at \ 5m/s} \)
\( \rm{Bearing \ of \ 307 \ at \ 1m/s} \)
\( \rm{Bearing \ of \ 053 \ at \ 4m/s} \)
\( \rm{The \ ship \ is \ stopped \ entirely.} \)

	Created by Jackie Grant over 8 years ago

Vectors Maths Diagnostic

Vectors: Maths Diagnostic

Question 1 of 6

\( {\rm A \ vector \ has \ magnitude \ of \ 15.0 \ and \ is \ at \ an \ angle \ of } \ 30^{\circ} \ {\rm above \ the \ horizontal} \ x \ {\rm axis. \\ What \ are \ the} \ x \ {\rm and} \ y {\rm \ components \ of \ this \ vector? }\)

Select one of the following:

Explanation

Question 2 of 6

\( {\rm Vector} \ \vec{F} \ {\rm is} \ 2.795 \times 10^3 \ {\rm units \ in \ the} \ x \ {\rm direction \ and \ vector} \ \vec{N} \ {\rm is} \ 9.8 \times 10^3 \ {\rm \ units \ in \ the} \ y \ {\rm \ direction, \\ what \ is \ the \ magnitude \ and \ direction \ of \ the \ resultant \ vector?} \)

Select one of the following:

Explanation

Question 3 of 6

Click on each orange point and select the correct answer.

\( \rm Vector \ A \ and \ vector \ B \ are \ shown \ in \ black \ in \ the \ diagram \ below. \\ Click \ on \ each \ of \ the \ four \ orange \ circles \ on \ the \ resultant \ red \ vectors \\ and \ select \ the \ correct \ equivalent \ combination \ of \ A \ and \ B. \)

Explanation

Question 4 of 6

\( \rm{ Vector \ A \ and \ vector \ B \ are \ shown \ in \ black \ in \ the \ diagram \ below. \ Select \ the \ image \ below \ which \ is \ NOT \ correct.}\)

Select one of the following:

Explanation

Question 5 of 6

Select one of the following:

Explanation

Question 6 of 6

\( \rm{A \ sailing \ ship \ is \ travelling \ with \ bearing \ of \ 307 \ at \ 5m/s. \ A \ 4m/s \ gust \ of wind \ to \ the \ East \ blows \ it \ off \ course.}\) \(\rm{ What \ is \ the \ new \ heading \ of \ the \ ship?} \)

Select one of the following:

Explanation

\( \rm{A \ sailing \ ship \ is \ travelling \ with \ bearing \ of \ 307 \ at \ 5m/s. \ A \ 4m/s \ gust \ of wind \ to \ the \ East \ blows \ it \ off \ course.}\)

\(\rm{ What \ is \ the \ new \ heading \ of \ the \ ship?} \)