Question

If a vector is equal to 3 ICAP + 2 J cap and b vector is equal to ICAP - 2 J cap + 3 k cap find the magnitude of a vector + b vector and a vector minus b vector​

Answer 1

Explanation ⇒ Given conditions,

$\vec{A} = 3\hat{i} + 2\hat{j}$

$\vec{B} = \hat{i} - 2\hat{j} + 3\hat{k}$

Now, $\vec{A} + \vec{B} = 3\hat{i} + 2\hat{j} + \hat{i} - 2\hat{j} + 3\hat{k}\\\vec{A} + \vec{B} = 4\hat{i} + 0\hat{j} + 3\hat{k}\\\vec{A} + \vec{B} = 4\hat{i} + 3\hat{k}$

∴ |A + B| = √(4)² + (3)² = √(5)² = 5 units.

Also, $\vec{A} - \vec{B} = 3\hat{i} + 2\hat{j} - \hat{i} + 2\hat{j} - 3\hat{k}\\\vec{A} - \vec{B} = 2\hat{i} + 4\hat{j} - 3\hat{k}$

|A - B| = √[(2)² + (4)² + (-3)²] = √29 units.

Hope it helps.

Answer 2

Answer:

this is the answer mark it as BRAINLIST