Question

A vector perpendicular to (4i -3j) is :​

Answer 1

Answer:

Step-by-step explanation:

such a vector is (3i + 4j) or (-3i - 4j) since for example

(4i - 3j)*(3i + 4j) = 4×3 - 3×4 = 0.

Answer 2

The vectors  ((3c)i+(4c)j) are perpendicular to (4i -3j), where c is non zero constant.

For example: Vector = 3i+4j

Step-by-step explanation:

We need to find the vector perpendicular to (4i -3j).

If two vectors $u=a_1i+b_1j$ and  $v=a_2i+b_2j$ are perpendicular then their dot product is 0.

$a_1a_2+b_1b_2=0$

Let the vector (ai+bj) is perpendicular to (4i -3j).

$(4)(a)+(-3)(b)=0$

$4a-3b=0$

$4a=3b$

$\dfrac{a}{b}=\dfrac{3}{4}$

The ratio of a to b is 3:4.

Let a=3c and b=4c, where c is non zero constant. Then the required vector is

Vector = (3c)i+(4c)j

For c=1

Vector = 3i+4j

Therefore, the vectors  ((3c)i+(4c)j) are perpendicular to (4i -3j), where c is non zero constant.

#Learn more

Find the scalar product of given two vector A=i-j-k And B=i+2j+3k​.

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