The magnitude of x & y components of vector( A) are 7 & 6 respectively. Also the magnitude of x &y components of vector(A+B) are 11 & 9 respectively. The magnitude of vector (B) is?

Q. If a vector has an x-component of -25 units and a y-component of 40 units, then the magnitude and direction of this vector are:

Q. The x and y components of a vector are

4 \sqrt{3}

m and 4 m respectively. What angle does the vector make with positive x-axis?

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Vector ¯¯¯¯A has x and y components of -8.70cm and 15.0 cm respectively. ¯¯¯¯B vector has x and y components of 13.2 cm and -6.60cm respectively. lf ¯¯¯¯A−¯¯¯¯B+3¯¯¯¯C=0 then x and y components of ¯¯¯¯C are:

The correct option is A 7.30cm and -7.20cmTreating the x and y-components independently:−8.70−13.20+3Cx=0⇒Cx=7.30cm15+6.60+3Cy⇒Cy=−7.20cm

Vector $¯ ¯¯ ¯ A$ has $x$ and $y$ components of -8.70cm and 15.0 cm respectively. $¯ ¯¯ ¯ B$ vector has $x$ and $y$ components of 13.2 $c m$ and -6.60cm respectively. lf $¯ ¯¯ ¯ A - ¯ ¯¯ ¯ B + 3 ¯ ¯¯ ¯ C = 0$ then $x$ and $y$ components of $¯ ¯¯ ¯ C$ are:

The correct option is A 7.30cm and -7.20cm
Treating the $x$ and $y$ -components independently:
$- 8.70 - 13.20 + 3 C_{x} = 0 \Rightarrow C_{x} = 7.30 c m$
$15 + 6.60 + 3 C_{y} \Rightarrow C_{y} = - 7.20 c m$