HSSC-I PHY chp 2,3

If vector A makes an angle θ with the positive x-axis, the x-component of A is given by:

• Ax=Acosθ
• Ax​=Asinθ
• Ax​=A
• Ax​=Atanθ

For a vector A=Axi^+Ayj^ the direction of the vector with respect to the x-axis is given by:

• θ=tan−1(Ay​/Ax​)
• θ=sin−1(Ay​/Ax​)
• θ=cos⁡−1(Ax/Ay)
• θ=tan−1(Ax​/Ay​)

For a vector A=5i^+12j^​,what are the rectangular components along the x and y axis?

• Ax​=12,Ay​=5
• Ax​=5,Ay​=12
• Ax​=5,Ay​=−12
• Ax​=12,Ay​=−5

If the vector A has components Ax​=−4N and Ay​=3N, what is the direction of the vector A?

• θ=tan−1(3/−4)
• θ=45°
• θ=tan−1(4/3)
• θ=90°

What is the scalar product of two vectors A and B?

• A×B
• A⋅B
• A+B
• A×B

The scalar product of two vectors A and B is zero. What can be concluded about the two vectors?

• They are parallel
• They are orthogonal (perpendicular)
• They have equal magnitudes
• They are collinear

Which of the following is a correct expression for the scalar product of two vectors A=Ax​i^+Ay​j^​ and B=Bx​i^+By​j^​?

• Ax​Bx​+Ay​By​
• Ax​By​+Ay​Bx​
• Ax​Bx​−Ay​By​
• Ax​Bx​+Ay​By​+Az​Bz​

If A and B are two non-zero vectors such that A.B=0, what is the angle between them?

• 45°
• 0°
• 180°
• 90°

The scalar product of a vector with itself is given by:

• A⋅A=∣A∣
• A⋅A=∣A∣2
• A⋅A=A
• A⋅A=0

If two vectors A and B are parallel, what is the scalar product A⋅B?

• ∣A∣∣B~
• ∣A∣∣B∣
• ∣A∣2+∣B∣2
• ∣A∣−∣B∣