Question

if vectors 2i+tj+5k and -i+j+k are perpendicular to each other then find t​

Answer 1

Step-by-step explanation:

$\huge\bf{\mid{\overline{\underline{ANSWER:-}}\mid}}$

If two vectors are perpendicular then their dot product is zero(0)

$</p><p>Let , \\ \\ A = 2 \hat{i} + t \hat{j} + 5 \hat{k} \\ \\ B = - \hat{i} + \hat{j} + \hat{k}$

$A. B = 0\\ \\( 2 \hat{i} + t \hat{j} + 5 \hat{k} )( - \hat{i} + \hat{j} + \hat{k}) = 0\\ \\ - 2 + t + 5 = 0 \\ \\ t + 3 = 0 \\ \\ \huge \boxed{t = - 3}$